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40066707132 = 22337913073593
BaseRepresentation
bin100101010100001010…
…010110111010111100
310211102022120121111000
4211110022112322330
51124024034112012
630223440330300
72615614251144
oct452412267274
9124368517430
1040066707132
1115aa0680101
127922313990
133a16b3a33a
141d213b3924
1510977b1ddc
hex954296ebc

40066707132 has 96 divisors (see below), whose sum is σ = 105301324800. Its totient is φ = 13172754816.

The previous prime is 40066707127. The next prime is 40066707133. The reversal of 40066707132 is 23170766004.

40066707132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40066707133) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11149528 + ... + 11153120.

It is an arithmetic number, because the mean of its divisors is an integer number (1096888800).

Almost surely, 240066707132 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 40066707132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52650662400).

40066707132 is an abundant number, since it is smaller than the sum of its proper divisors (65234617668).

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

40066707132 is a wasteful number, since it uses less digits than its factorization.

40066707132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4992 (or 4984 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The spelling of 40066707132 in words is "forty billion, sixty-six million, seven hundred seven thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 79 108 158 237 316 474 711 948 1307 1422 2133 2614 2844 3593 3921 4266 5228 7186 7842 8532 10779 11763 14372 15684 21558 23526 32337 35289 43116 47052 64674 70578 97011 103253 129348 141156 194022 206506 283847 309759 388044 413012 567694 619518 851541 929277 1135388 1239036 1703082 1858554 2554623 2787831 3406164 3717108 4696051 5109246 5575662 7663869 9392102 10218492 11151324 14088153 15327738 18784204 28176306 30655476 42264459 56352612 84528918 126793377 169057836 253586754 370988029 507173508 741976058 1112964087 1483952116 2225928174 3338892261 4451856348 6677784522 10016676783 13355569044 20033353566 40066707132