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40014522054104 = 23134338377330223
BaseRepresentation
bin10010001100100100110110…
…10111110111010111011000
312020200100110211201210111012
421012102123113313113120
520221044220121212404
6221034230114153052
711266645105341623
oct1106223327672730
9166610424653435
1040014522054104
1111828077583284
1245a30ba582788
1319434790b0aa0
149c49db048dba
15495d09ac2a6e
hex24649b5f75d8

40014522054104 has 128 divisors (see below), whose sum is σ = 83003440988160. Its totient is φ = 17967778795008.

The previous prime is 40014522054103. The next prime is 40014522054107. The reversal of 40014522054104 is 40145022541004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40014522054103) 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, 1323960737 + ... + 1323990959.

It is an arithmetic number, because the mean of its divisors is an integer number (648464382720).

Almost surely, 240014522054104 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 40014522054104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41501720494080).

40014522054104 is an abundant number, since it is smaller than the sum of its proper divisors (42988918934056).

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

40014522054104 is a wasteful number, since it uses less digits than its factorization.

40014522054104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31441 (or 31437 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 32.

Adding to 40014522054104 its reverse (40145022541004), we get a palindrome (80159544595108).

The spelling of 40014522054104 in words is "forty trillion, fourteen billion, five hundred twenty-two million, fifty-four thousand, one hundred four".

Divisors: 1 2 4 8 13 26 43 52 86 104 172 344 383 559 766 773 1118 1532 1546 2236 3064 3092 4472 4979 6184 9958 10049 16469 19916 20098 30223 32938 33239 39832 40196 60446 65876 66478 80392 120892 131752 132956 214097 241784 265912 296059 392899 428194 432107 592118 785798 856388 864214 1184236 1299589 1571596 1712776 1728428 2368472 2599178 3143192 3456856 3848767 5198356 7697534 10396712 11575409 12730537 15395068 16894657 23150818 23362379 25461074 30790136 33789314 46301636 46724758 50922148 67578628 92603272 93449516 101844296 135157256 150480317 165496981 186899032 300960634 303710927 330993962 497742587 601921268 607421854 661987924 995485174 1004582297 1203842536 1214843708 1323975848 1990970348 2009164594 2429687416 3981940696 4018329188 6470653631 8036658376 8947791157 12941307262 13059569861 17895582314 25882614524 26119139722 35791164628 51765229048 52238279444 71582329256 104476558888 116321285041 232642570082 384755019751 465285140164 769510039502 930570280328 1539020079004 3078040158008 5001815256763 10003630513526 20007261027052 40014522054104