Search a number
-
+
40001366342502 = 2321926539427183
BaseRepresentation
bin10010001100001100010110…
…01110110011101101100110
312020122002111222221101212100
421012012023032303231212
520220340244240430002
6221024212441432530
711266001101545405
oct1106061316635546
9166562458841770
1040001366342502
1111822536515454
1245a064879b746
131942160690556
149c410db4963c
154957d9b6411c
hex24618b3b3b66

40001366342502 has 72 divisors (see below), whose sum is σ = 91611356694624. Its totient is φ = 12612664506528.

The previous prime is 40001366342489. The next prime is 40001366342507. The reversal of 40001366342502 is 20524366310004.

40001366342502 is a `hidden beast` number, since 4 + 0 + 0 + 0 + 13 + 6 + 634 + 2 + 5 + 0 + 2 = 666.

40001366342502 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40001366342507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 470398 + ... + 8956785.

It is an arithmetic number, because the mean of its divisors is an integer number (1272379954092).

Almost surely, 240001366342502 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40001366342502, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45805678347312).

40001366342502 is an abundant number, since it is smaller than the sum of its proper divisors (51609990352122).

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

40001366342502 is a wasteful number, since it uses less digits than its factorization.

40001366342502 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9427882 (or 9427860 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 40001366342502 in words is "forty trillion, one billion, three hundred sixty-six million, three hundred forty-two thousand, five hundred two".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 361 653 722 1083 1306 1959 2166 3249 3918 5877 6498 11754 12407 24814 37221 74442 111663 223326 235733 471466 707199 1414398 2121597 4243194 9427183 18854366 28281549 56563098 84844647 169689294 179116477 358232954 537349431 1074698862 1612048293 3224096586 3403213063 6155950499 6806426126 10209639189 12311900998 18467851497 20419278378 30628917567 36935702994 55403554491 61257835134 110807108982 116963059481 233926118962 350889178443 701778356886 1052667535329 2105335070658 2222298130139 4444596260278 6666894390417 13333788780834 20000683171251 40001366342502