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40402665100 = 2252785767349
BaseRepresentation
bin100101101000001011…
…111011111010001100
310212021201202001011201
4211220023323322030
51130221040240400
630321041155244
72630133662350
oct455013737214
9125251661151
1040402665100
1116153284316
1279b692bb24
133a6b617c35
141d53c67460
1510b702506a
hex9682fbe8c

40402665100 has 72 divisors (see below), whose sum is σ = 100317016800. Its totient is φ = 13835973120.

The previous prime is 40402665073. The next prime is 40402665119. The reversal of 40402665100 is 156620404.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 566226 + ... + 633574.

It is an arithmetic number, because the mean of its divisors is an integer number (1393291900).

Almost surely, 240402665100 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 40402665100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50158508400).

40402665100 is an abundant number, since it is smaller than the sum of its proper divisors (59914351700).

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

40402665100 is a wasteful number, since it uses less digits than its factorization.

40402665100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68227 (or 68220 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The spelling of 40402665100 in words is "forty billion, four hundred two million, six hundred sixty-five thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 857 1714 3428 4285 5999 8570 11998 17140 21425 23996 29995 42850 59990 67349 85700 119980 134698 149975 269396 299950 336745 471443 599900 673490 942886 1346980 1683725 1885772 2357215 3367450 4714430 6734900 9428860 11786075 23572150 47144300 57718093 115436186 230872372 288590465 404026651 577180930 808053302 1154361860 1442952325 1616106604 2020133255 2885904650 4040266510 5771809300 8080533020 10100666275 20201332550 40402665100