Search a number
-
+
38004140837115 = 365831151109139
BaseRepresentation
bin10001010010000100001110…
…10100001000100011111011
311222120011022220210111000000
420221002013110020203323
514440124440023241430
6212454510011444043
711001465016060035
oct1051020724104373
9158504286714000
1038004140837115
1111122513811522
124319559a56623
131828a0cb9618b
149555a5960c55
1545d895533e60
hex2290875088fb

38004140837115 has 112 divisors (see below), whose sum is σ = 69260739932160. Its totient is φ = 20007090849600.

The previous prime is 38004140837107. The next prime is 38004140837129. The reversal of 38004140837115 is 51173804140083.

38004140837115 is a `hidden beast` number, since 3 + 80 + 0 + 414 + 0 + 83 + 71 + 15 = 666.

It is not a de Polignac number, because 38004140837115 - 23 = 38004140837107 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 111 ways as a sum of consecutive naturals, for example, 348163216 + ... + 348272354.

It is an arithmetic number, because the mean of its divisors is an integer number (618399463680).

Almost surely, 238004140837115 is an apocalyptic number.

38004140837115 is a deficient number, since it is larger than the sum of its proper divisors (31256599095045).

38004140837115 is a wasteful number, since it uses less digits than its factorization.

38004140837115 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110396 (or 110381 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

Adding to 38004140837115 its reverse (51173804140083), we get a palindrome (89177944977198).

The spelling of 38004140837115 in words is "thirty-eight trillion, four billion, one hundred forty million, eight hundred thirty-seven thousand, one hundred fifteen".

Divisors: 1 3 5 9 15 27 45 81 83 135 243 249 405 415 729 747 1151 1215 1245 2241 3453 3645 3735 5755 6723 10359 11205 17265 20169 31077 33615 51795 60507 93231 95533 100845 109139 155385 279693 286599 302535 327417 466155 477665 545695 839079 859797 982251 1398465 1432995 1637085 2579391 2946753 4195395 4298985 4911255 7738173 8840259 9058537 12896955 14733765 23214519 26520777 27175611 38690865 44201295 45292685 69643557 79562331 81526833 116072595 125618989 132603885 135878055 244580499 348217785 376856967 397811655 407634165 628094945 733741497 1130570901 1222902495 1884284835 2201224491 3391712703 3668707485 5652854505 6603673473 10175138109 10426376087 11006122455 16958563515 30525414327 31279128261 33018367365 50875690545 52131880435 91576242981 93837384783 152627071635 156395641305 281512154349 457881214905 469186923915 844536463047 1407560771745 2533609389141 4222682315235 7600828167423 12668046945705 38004140837115