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10035141040 = 245235453881
BaseRepresentation
bin10010101100010010…
…00001100110110000
3221220100212222120101
421112021001212300
5131022444003130
64335435522144
7503452201651
oct112611014660
927810788511
1010035141040
11428a636aa1
121b408b9354
13c3c0724a2
146b2aad528
153db0001ca
hex2562419b0

10035141040 has 40 divisors (see below), whose sum is σ = 24346129248. Its totient is φ = 3839531520.

The previous prime is 10035141019. The next prime is 10035141047. The reversal of 10035141040 is 4014153001.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 10035140999 and 10035141017.

It is not an unprimeable number, because it can be changed into a prime (10035141047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2725101 + ... + 2728780.

Almost surely, 210035141040 is an apocalyptic number.

10035141040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10035141040 is an abundant number, since it is smaller than the sum of its proper divisors (14310988208).

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

10035141040 is a wasteful number, since it uses less digits than its factorization.

10035141040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5453917 (or 5453911 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

Adding to 10035141040 its reverse (4014153001), we get a palindrome (14049294041).

The spelling of 10035141040 in words is "ten billion, thirty-five million, one hundred forty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 368 460 920 1840 5453881 10907762 21815524 27269405 43631048 54538810 87262096 109077620 125439263 218155240 250878526 436310480 501757052 627196315 1003514104 1254392630 2007028208 2508785260 5017570520 10035141040