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1041314101024 = 25372199119447
BaseRepresentation
bin11110010011100110010…
…10000011011100100000
310200112210222012012200211
433021303022003130200
5114030102402213044
62114212331023504
7135142506550111
oct17116312033440
93615728165624
101041314101024
1137168973253a
12149991b9ab94
1377270682472
1438585366208
151c1487c6634
hexf273283720

1041314101024 has 72 divisors (see below), whose sum is σ = 2117598033600. Its totient is φ = 504035364096.

The previous prime is 1041314101001. The next prime is 1041314101031. The reversal of 1041314101024 is 4201014131401.

It is a junction number, because it is equal to n+sod(n) for n = 1041314100986 and 1041314101004.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8658069 + ... + 8777515.

It is an arithmetic number, because the mean of its divisors is an integer number (29411083800).

Almost surely, 21041314101024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1041314101024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1058799016800).

1041314101024 is an abundant number, since it is smaller than the sum of its proper divisors (1076283932576).

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

1041314101024 is a wasteful number, since it uses less digits than its factorization.

1041314101024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119730 (or 119685 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 1041314101024 its reverse (4201014131401), we get a palindrome (5242328232425).

The spelling of 1041314101024 in words is "one trillion, forty-one billion, three hundred fourteen million, one hundred one thousand, twenty-four".

Divisors: 1 2 4 8 16 32 37 74 148 199 296 398 592 796 1184 1369 1592 2738 3184 5476 6368 7363 10952 14726 21904 29452 43808 58904 117808 119447 235616 238894 272431 477788 544862 955576 1089724 1911152 2179448 3822304 4358896 4419539 8717792 8839078 17678156 23769953 35356312 47539906 70712624 95079812 141425248 163522943 190159624 327045886 380319248 654091772 760638496 879488261 1308183544 1758976522 2616367088 3517953044 5232734176 7035906088 14071812176 28143624352 32541065657 65082131314 130164262628 260328525256 520657050512 1041314101024