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152431202224004 = 221143787934310957
BaseRepresentation
bin100010101010001010100111…
…101010010100011110000100
3201222201021120120101020001112
4202222022213222110132010
5124434413100232132004
61300105532205144152
744051535201531524
oct4252124752243604
9658637516336045
10152431202224004
1144629789867130
121511a23125b058
13670927bbc6252
14298d9d1025684
151295143258e6e
hex8aa2a7a94784

152431202224004 has 96 divisors (see below), whose sum is σ = 298210070839296. Its totient is φ = 67576192548480.

The previous prime is 152431202223983. The next prime is 152431202224033. The reversal of 152431202224004 is 400422202134251.

152431202224004 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1524312022240042 (a number of 29 digits) contains 22 as substring.

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, 13911758894 + ... + 13911769850.

It is an arithmetic number, because the mean of its divisors is an integer number (3106354904576).

Almost surely, 2152431202224004 is an apocalyptic number.

It is an amenable number.

152431202224004 is a deficient number, since it is larger than the sum of its proper divisors (145778868615292).

152431202224004 is a wasteful number, since it uses less digits than its factorization.

152431202224004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21145 (or 21143 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 32.

Adding to 152431202224004 its reverse (400422202134251), we get a palindrome (552853404358255).

The spelling of 152431202224004 in words is "one hundred fifty-two trillion, four hundred thirty-one billion, two hundred two million, two hundred twenty-four thousand, four".

Divisors: 1 2 4 11 22 43 44 86 172 473 787 946 1574 1892 3148 8657 9343 10957 17314 18686 21914 33841 34628 37372 43828 67682 102773 120527 135364 205546 241054 372251 401749 411092 471151 482108 744502 803498 942302 1489004 1606996 1884604 4419239 5182661 7352941 8623159 8838478 10365322 14705882 17246318 17676956 20730644 29411764 34492636 80882351 94854749 102371251 161764702 189709498 204742502 316176463 323529404 370795837 379418996 409485004 632352926 741591674 1126083761 1264705852 1483183348 2252167522 3477941093 4078754207 4401963793 4504335044 6955882186 8157508414 8803927586 13911764372 16315016828 17607855172 48421601723 80566174537 96843203446 161132349074 193686406892 322264698148 886227919907 1772455839814 3464345505091 3544911679628 6928691010182 13857382020364 38107800556001 76215601112002 152431202224004