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40271057652 = 22377323892749
BaseRepresentation
bin100101100000010101…
…111001001011110100
310211221120002200200210
4211200111321023310
51124433342321102
630300020305420
72623645225230
oct454025711364
9124846080623
1040271057652
1116095a64731
12797a842270
133a4a2888c7
141d405a95c0
1510aa6ca36c
hex9605792f4

40271057652 has 96 divisors (see below), whose sum is σ = 108945760000. Its totient is φ = 11339523072.

The previous prime is 40271057609. The next prime is 40271057657. The reversal of 40271057652 is 25675017204.

It is a self number, because there is not a number n which added to its sum of digits gives 40271057652.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40271057657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14647974 + ... + 14650722.

Almost surely, 240271057652 is an apocalyptic number.

40271057652 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a pronic number, being equal to 200676×200677.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40271057652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54472880000).

40271057652 is an abundant number, since it is smaller than the sum of its proper divisors (68674702348).

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

40271057652 is a wasteful number, since it uses less digits than its factorization.

40271057652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5225 (or 5223 counting only the distinct ones).

The product of its (nonzero) digits is 117600, while the sum is 39.

The spelling of 40271057652 in words is "forty billion, two hundred seventy-one million, fifty-seven thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 73 84 146 219 292 438 511 876 1022 1533 2044 2389 2749 3066 4778 5498 6132 7167 8247 9556 10996 14334 16494 16723 19243 28668 32988 33446 38486 50169 57729 66892 76972 100338 115458 174397 200676 200677 230916 348794 401354 523191 602031 697588 802708 1046382 1204062 1220779 1404739 2092764 2408124 2441558 2809478 3662337 4214217 4883116 5618956 6567361 7324674 8428434 13134722 14649348 16856868 19702083 26269444 39404166 45971527 78808332 91943054 137914581 183886108 275829162 479417353 551658324 958834706 1438252059 1917669412 2876504118 3355921471 5753008236 6711842942 10067764413 13423685884 20135528826 40271057652