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31505051040 = 253565635523
BaseRepresentation
bin11101010101110110…
…001110110110100000
310000022122022102021020
4131111312032312200
51004010243113130
622250114325440
72163503341521
oct352566166640
9100278272236
1031505051040
11123a7864171
126132b89880
132c81135448
14174c2a4848
15c45d1ee10
hex755d8eda0

31505051040 has 48 divisors (see below), whose sum is σ = 99240912288. Its totient is φ = 8401346816.

The previous prime is 31505051009. The next prime is 31505051041. The reversal of 31505051040 is 4015050513.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 31505051040.

It is not an unprimeable number, because it can be changed into a prime (31505051041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32817282 + ... + 32818241.

It is an arithmetic number, because the mean of its divisors is an integer number (2067519006).

Almost surely, 231505051040 is an apocalyptic number.

31505051040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31505051040 is an abundant number, since it is smaller than the sum of its proper divisors (67735861248).

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

31505051040 is a wasteful number, since it uses less digits than its factorization.

31505051040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65635541 (or 65635533 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 24.

The spelling of 31505051040 in words is "thirty-one billion, five hundred five million, fifty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 65635523 131271046 196906569 262542092 328177615 393813138 525084184 656355230 787626276 984532845 1050168368 1312710460 1575252552 1969065690 2100336736 2625420920 3150505104 3938131380 5250841840 6301010208 7876262760 10501683680 15752525520 31505051040