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40135533520 = 2455910184191
BaseRepresentation
bin100101011000010000…
…111010001111010000
310211121010002100112111
4211120100322033100
51124144144033040
630234335435104
72620411256155
oct453020721720
9124533070474
1040135533520
111602650a415
127941385a94
133a28187904
141d2a5ac22c
15109d859dea
hex95843a3d0

40135533520 has 80 divisors (see below), whose sum is σ = 95837437440. Its totient is φ = 15625664000.

The previous prime is 40135533469. The next prime is 40135533523. The reversal of 40135533520 is 2533553104.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×401355335202 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40135533523) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 434625 + ... + 518815.

It is an arithmetic number, because the mean of its divisors is an integer number (1197967968).

Almost surely, 240135533520 is an apocalyptic number.

40135533520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40135533520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47918718720).

40135533520 is an abundant number, since it is smaller than the sum of its proper divisors (55701903920).

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

40135533520 is a wasteful number, since it uses less digits than its factorization.

40135533520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84364 (or 84358 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 31.

The spelling of 40135533520 in words is "forty billion, one hundred thirty-five million, five hundred thirty-three thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 59 80 101 118 202 236 295 404 472 505 590 808 944 1010 1180 1616 2020 2360 4040 4720 5959 8080 11918 23836 29795 47672 59590 84191 95344 119180 168382 238360 336764 420955 476720 673528 841910 1347056 1683820 3367640 4967269 6735280 8503291 9934538 17006582 19869076 24836345 34013164 39738152 42516455 49672690 68026328 79476304 85032910 99345380 136052656 170065820 198690760 340131640 397381520 501694169 680263280 1003388338 2006776676 2508470845 4013553352 5016941690 8027106704 10033883380 20067766760 40135533520