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40387210272 = 2532236097103
BaseRepresentation
bin100101100111010000…
…111110110000100000
310212020122122212010200
4211213100332300200
51130203111212042
630315330025200
72626555423503
oct454720766040
9125218585120
1040387210272
1116145588932
1279b1718200
133a68366576
141d51ba313a
1510b59c0c4c
hex96743ec20

40387210272 has 72 divisors (see below), whose sum is σ = 119844676224. Its totient is φ = 12877079424.

The previous prime is 40387210229. The next prime is 40387210291. The reversal of 40387210272 is 27201278304.

40387210272 is a `hidden beast` number, since 4 + 0 + 387 + 2 + 1 + 0 + 272 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×403872102722 (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3041928 + ... + 3055175.

It is an arithmetic number, because the mean of its divisors is an integer number (1664509392).

Almost surely, 240387210272 is an apocalyptic number.

It is an amenable number.

40387210272 is an abundant number, since it is smaller than the sum of its proper divisors (79457465952).

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

40387210272 is a wasteful number, since it uses less digits than its factorization.

40387210272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6097142 (or 6097131 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

Adding to 40387210272 its reverse (27201278304), we get a palindrome (67588488576).

The spelling of 40387210272 in words is "forty billion, three hundred eighty-seven million, two hundred ten thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 138 144 184 207 276 288 368 414 552 736 828 1104 1656 2208 3312 6624 6097103 12194206 18291309 24388412 36582618 48776824 54873927 73165236 97553648 109747854 140233369 146330472 195107296 219495708 280466738 292660944 420700107 438991416 560933476 585321888 841400214 877982832 1121866952 1262100321 1682800428 1755965664 2243733904 2524200642 3365600856 4487467808 5048401284 6731201712 10096802568 13462403424 20193605136 40387210272