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40231660212 = 22322970154973
BaseRepresentation
bin100101011101111111…
…100110101010110100
310211211210222002120100
4211131333212222310
51124343301111322
630252052034100
72622656320002
oct453577465264
9124753862510
1040231660212
11160757a5867
127969602930
133a42073403
141d39271a72
1510a6ee6dac
hex95dfe6ab4

40231660212 has 72 divisors (see below), whose sum is σ = 105355472040. Its totient is φ = 12929414400.

The previous prime is 40231660207. The next prime is 40231660213. The reversal of 40231660212 is 21206613204.

40231660212 is a `hidden beast` number, since 40 + 2 + 3 + 1 + 6 + 602 + 12 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11682151056 + 28549509156 = 108084^2 + 168966^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40231660213) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 704358 + ... + 759330.

It is an arithmetic number, because the mean of its divisors is an integer number (1463270445).

Almost surely, 240231660212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40231660212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52677736020).

40231660212 is an abundant number, since it is smaller than the sum of its proper divisors (65123811828).

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

40231660212 is a wasteful number, since it uses less digits than its factorization.

40231660212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55713 (or 55708 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 40231660212 in words is "forty billion, two hundred thirty-one million, six hundred sixty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 701 1044 1402 2103 2804 4206 6309 8412 12618 20329 25236 40658 54973 60987 81316 109946 121974 164919 182961 219892 243948 329838 365922 494757 659676 731844 989514 1594217 1979028 3188434 4782651 6376868 9565302 14347953 19130604 28695906 38536073 57391812 77072146 115608219 154144292 231216438 346824657 462432876 693649314 1117546117 1387298628 2235092234 3352638351 4470184468 6705276702 10057915053 13410553404 20115830106 40231660212