Search a number
-
+
40885675630848 = 283352111353499
BaseRepresentation
bin10010100101111011100000…
…01011000010000100000000
312100202122002000212202011000
421102331300023002010000
520324332330430141343
6222542341534452000
711416615104512046
oct1122756013020400
9170678060782130
1040885675630848
1112033577008354
124703b02064000
1319a766c493b99
14a14c3d2b0396
154ad7e48e0ed3
hex252f702c2100

40885675630848 has 144 divisors (see below), whose sum is σ = 121138211880000. Its totient is φ = 13602398883840.

The previous prime is 40885675630843. The next prime is 40885675630957. The reversal of 40885675630848 is 84803657658804.

40885675630848 is a `hidden beast` number, since 4 + 0 + 8 + 8 + 56 + 7 + 563 + 0 + 8 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (40885675630843) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2075598 + ... + 9277901.

It is an arithmetic number, because the mean of its divisors is an integer number (841237582500).

Almost surely, 240885675630848 is an apocalyptic number.

40885675630848 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

40885675630848 is an abundant number, since it is smaller than the sum of its proper divisors (80252536249152).

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

40885675630848 is a wasteful number, since it uses less digits than its factorization.

40885675630848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11354045 (or 11354025 counting only the distinct ones).

The product of its (nonzero) digits is 1238630400, while the sum is 72.

The spelling of 40885675630848 in words is "forty trillion, eight hundred eighty-five billion, six hundred seventy-five million, six hundred thirty thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 521 576 768 864 1042 1152 1563 1728 2084 2304 3126 3456 4168 4689 6252 6912 8336 9378 12504 14067 16672 18756 25008 28134 33344 37512 50016 56268 66688 75024 100032 112536 133376 150048 200064 225072 300096 400128 450144 600192 900288 1200384 1800576 3601152 11353499 22706998 34060497 45413996 68120994 90827992 102181491 136241988 181655984 204362982 272483976 306544473 363311968 408725964 544967952 613088946 726623936 817451928 1089935904 1226177892 1453247872 1634903856 2179871808 2452355784 2906495744 3269807712 4359743616 4904711568 5915172979 6539615424 8719487232 9809423136 11830345958 13079230848 17745518937 19618846272 23660691916 26158461696 35491037874 39237692544 47321383832 53236556811 70982075748 78475385088 94642767664 106473113622 141964151496 159709670433 189285535328 212946227244 283928302992 319419340866 378571070656 425892454488 567856605984 638838681732 757142141312 851784908976 1135713211968 1277677363464 1514284282624 1703569817952 2271426423936 2555354726928 3407139635904 4542852847872 5110709453856 6814279271808 10221418907712 13628558543616 20442837815424 40885675630848