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40801538295 = 35572685337
BaseRepresentation
bin100101111111111101…
…100001000011110111
310220022112021220100000
4211333331201003313
51132030143211140
630424410322343
72643046232100
oct457775410367
9126275256300
1040801538295
111633844a691
127aa84293b3
133b0315368b
141d90c173a7
1510dc064a30
hex97ff610f7

40801538295 has 72 divisors (see below), whose sum is σ = 85316356944. Its totient is φ = 18652104576.

The previous prime is 40801538291. The next prime is 40801538303. The reversal of 40801538295 is 59283510804.

40801538295 is a `hidden beast` number, since 408 + 0 + 153 + 8 + 2 + 95 = 666.

It is not a de Polignac number, because 40801538295 - 22 = 40801538291 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 40801538295.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40801538291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 283134 + ... + 402203.

It is an arithmetic number, because the mean of its divisors is an integer number (1184949402).

Almost surely, 240801538295 is an apocalyptic number.

40801538295 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

40801538295 is an abundant number, since it is smaller than the sum of its proper divisors (44514818649).

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

40801538295 is an equidigital number, since it uses as much as digits as its factorization.

40801538295 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685371 (or 685352 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 40801538295 in words is "forty billion, eight hundred one million, five hundred thirty-eight thousand, two hundred ninety-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 49 63 81 105 135 147 189 243 245 315 405 441 567 735 945 1215 1323 1701 2205 2835 3969 6615 8505 11907 19845 59535 685337 2056011 3426685 4797359 6168033 10280055 14392077 18504099 23986795 30840165 33581513 43176231 55512297 71960385 92520495 100744539 129528693 166536891 167907565 215881155 277561485 302233617 388586079 503722695 647643465 832684455 906700851 1165758237 1511168085 1942930395 2720102553 4533504255 5828791185 8160307659 13600512765 40801538295