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40080106632006 = 2337419253059733
BaseRepresentation
bin10010001110011111000001…
…00001001011001101000110
312020220121202112200112221000
421013033200201023031012
520223133024244211011
6221124314035234130
711304456256141560
oct1107174041131506
9166817675615830
1040080106632006
1111852972342381
1245b3962748946
1319496cb82592c
149c7c5d490330
15497897750356
hex2473e084b346

40080106632006 has 64 divisors (see below), whose sum is σ = 102033684748800. Its totient is φ = 11424128541408.

The previous prime is 40080106631989. The next prime is 40080106632061. The reversal of 40080106632006 is 60023660108004.

40080106632006 is a `hidden beast` number, since 4 + 0 + 0 + 8 + 0 + 10 + 6 + 632 + 0 + 0 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 126371485 + ... + 126688248.

It is an arithmetic number, because the mean of its divisors is an integer number (1594276324200).

Almost surely, 240080106632006 is an apocalyptic number.

40080106632006 is an abundant number, since it is smaller than the sum of its proper divisors (61953578116794).

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

40080106632006 is a wasteful number, since it uses less digits than its factorization.

40080106632006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253060170 (or 253060164 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 40080106632006 in words is "forty trillion, eighty billion, one hundred six million, six hundred thirty-two thousand, six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 419 838 1257 2514 2933 3771 5866 7542 8799 11313 17598 22626 26397 52794 79191 158382 253059733 506119466 759179199 1518358398 1771418131 2277537597 3542836262 4555075194 5314254393 6832612791 10628508786 13665225582 15942763179 31885526358 47828289537 95656579074 106032028127 212064056254 318096084381 636192168762 742224196889 954288253143 1484448393778 1908576506286 2226672590667 2862864759429 4453345181334 5725729518858 6680017772001 13360035544002 20040053316003 40080106632006