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1032313040440 = 235114167854083
BaseRepresentation
bin11110000010110101010…
…01101110111000111000
310122200120200002221211121
433001122221232320320
5113403134114243230
62110123231035024
7134403452031013
oct17013251567070
93580520087747
101032313040440
1136888a8874a0
1214809b66ba74
1376467920506
1437d6db5637a
151bcbd48a77a
hexf05aa6ee38

1032313040440 has 128 divisors (see below), whose sum is σ = 2634405016320. Its totient is φ = 360764236800.

The previous prime is 1032313040309. The next prime is 1032313040441. The reversal of 1032313040440 is 440403132301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1032313040441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 781639 + ... + 1635721.

It is an arithmetic number, because the mean of its divisors is an integer number (20581289190).

Almost surely, 21032313040440 is an apocalyptic number.

1032313040440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1032313040440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1317202508160).

1032313040440 is an abundant number, since it is smaller than the sum of its proper divisors (1602091975880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1032313040440 is a wasteful number, since it uses less digits than its factorization.

1032313040440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 854213 (or 854209 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 1032313040440 its reverse (440403132301), we get a palindrome (1472716172741).

The spelling of 1032313040440 in words is "one trillion, thirty-two billion, three hundred thirteen million, forty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 41 44 55 67 82 88 110 134 164 205 220 268 328 335 410 440 451 536 670 737 820 902 1340 1474 1640 1804 2255 2680 2747 2948 3608 3685 4510 5494 5896 7370 9020 10988 13735 14740 18040 21976 27470 29480 30217 54940 60434 109880 120868 151085 241736 302170 604340 854083 1208680 1708166 3416332 4270415 6832664 8540830 9394913 17081660 18789826 34163320 35017403 37579652 46974565 57223561 70034806 75159304 93949130 114447122 140069612 175087015 187898260 228894244 280139224 286117805 350174030 375796520 385191433 457788488 572235610 629459171 700348060 770382866 1144471220 1258918342 1400696120 1540765732 1925957165 2288942440 2346166001 2517836684 3081531464 3147295855 3851914330 4692332002 5035673368 6294591710 7703828660 9384664004 11730830005 12589183420 15407657320 18769328008 23461660010 25178366840 25807826011 46923320020 51615652022 93846640040 103231304044 129039130055 206462608088 258078260110 516156520220 1032313040440