Search a number
-
+
40642627777152 = 273472251918649
BaseRepresentation
bin10010011110110110110010…
…11001000011001010000000
312022220101201121110111212220
421033123121121003022000
520311342100202332102
6222234544311451040
711363222130033312
oct1117333131031200
9168811647414786
1040642627777152
1111a4a494913565
124684991986a80
13198a77782473b
14a07183d1d7b2
154a731c0dc1bc
hex24f6d9643280

40642627777152 has 64 divisors (see below), whose sum is σ = 110253937104000. Its totient is φ = 13259296999424.

The previous prime is 40642627777117. The next prime is 40642627777159. The reversal of 40642627777152 is 25177772624604.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×406426277771522 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40642627777159) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1125941277 + ... + 1125977372.

It is an arithmetic number, because the mean of its divisors is an integer number (1722717767250).

Almost surely, 240642627777152 is an apocalyptic number.

It is an amenable number.

40642627777152 is an abundant number, since it is smaller than the sum of its proper divisors (69611309326848).

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

40642627777152 is a wasteful number, since it uses less digits than its factorization.

40642627777152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2251918713 (or 2251918701 counting only the distinct ones).

The product of its (nonzero) digits is 55319040, while the sum is 60.

The spelling of 40642627777152 in words is "forty trillion, six hundred forty-two billion, six hundred twenty-seven million, seven hundred seventy-seven thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 128 141 188 192 282 376 384 564 752 1128 1504 2256 3008 4512 6016 9024 18048 2251918649 4503837298 6755755947 9007674596 13511511894 18015349192 27023023788 36030698384 54046047576 72061396768 105840176503 108092095152 144122793536 211680353006 216184190304 288245587072 317520529509 423360706012 432368380608 635041059018 846721412024 864736761216 1270082118036 1693442824048 2540164236072 3386885648096 5080328472144 6773771296192 10160656944288 13547542592384 20321313888576 40642627777152