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40103205253506 = 2341371806939049
BaseRepresentation
bin10010001111001010000010…
…10011011011000110000010
312020222211101022211002210000
421013211001103123012002
520224022331021103011
6221143054055020430
711306234545162443
oct1107450123330602
9166884338732700
1040103205253506
111186174597160a
1245b832a36a716
13194b940164cc5
149c90110d12ca
1549829a541356
hex2479414db182

40103205253506 has 40 divisors (see below), whose sum is σ = 90516804770700. Its totient is φ = 13270160368512.

The previous prime is 40103205253499. The next prime is 40103205253519. The reversal of 40103205253506 is 60535250230104.

40103205253506 is a `hidden beast` number, since 4 + 0 + 103 + 20 + 5 + 25 + 3 + 506 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 40036509608481 + 66695645025 = 6327441^2 + 258255^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 903447331 + ... + 903491718.

Almost surely, 240103205253506 is an apocalyptic number.

40103205253506 is an abundant number, since it is smaller than the sum of its proper divisors (50413599517194).

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

40103205253506 is a wasteful number, since it uses less digits than its factorization.

40103205253506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1806939200 (or 1806939191 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 40103205253506 in words is "forty trillion, one hundred three billion, two hundred five million, two hundred fifty-three thousand, five hundred six".

Divisors: 1 2 3 6 9 18 27 54 81 137 162 274 411 822 1233 2466 3699 7398 11097 22194 1806939049 3613878098 5420817147 10841634294 16262451441 32524902882 48787354323 97574708646 146362062969 247550649713 292724125938 495101299426 742651949139 1485303898278 2227955847417 4455911694834 6683867542251 13367735084502 20051602626753 40103205253506