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40772342232 = 23325918895081
BaseRepresentation
bin100101111110001110…
…001001000111011000
310220020111100120212100
4211332032021013120
51132000204422412
630421444443400
72642243122266
oct457616110730
9126214316770
1040772342232
1116322a19206
127a9a6a9560
133aca0a05bb
141d8adb7436
1510d96e8edc
hex97e3891d8

40772342232 has 96 divisors (see below), whose sum is σ = 112378266000. Its totient is φ = 13350727680.

The previous prime is 40772342227. The next prime is 40772342297. The reversal of 40772342232 is 23224327704.

40772342232 is a `hidden beast` number, since 407 + 7 + 23 + 4 + 223 + 2 = 666.

40772342232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×407723422323 (a number of 33 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8021932 + ... + 8027012.

Almost surely, 240772342232 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 40772342232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56189133000).

40772342232 is an abundant number, since it is smaller than the sum of its proper divisors (71605923768).

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

40772342232 is a wasteful number, since it uses less digits than its factorization.

40772342232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7041 (or 7034 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 36.

Adding to 40772342232 its reverse (23224327704), we get a palindrome (63996669936).

The spelling of 40772342232 in words is "forty billion, seven hundred seventy-two million, three hundred forty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 59 72 118 177 236 354 472 531 708 1062 1416 1889 2124 3778 4248 5081 5667 7556 10162 11334 15112 15243 17001 20324 22668 30486 34002 40648 45336 45729 60972 68004 91458 111451 121944 136008 182916 222902 299779 334353 365832 445804 599558 668706 891608 899337 1003059 1199116 1337412 1798674 2006118 2398232 2674824 2698011 3597348 4012236 5396022 7194696 8024472 9598009 10792044 19196018 21584088 28794027 38392036 57588054 76784072 86382081 115176108 172764162 230352216 345528324 566282531 691056648 1132565062 1698847593 2265130124 3397695186 4530260248 5096542779 6795390372 10193085558 13590780744 20386171116 40772342232