Search a number
-
+
10145411611052 = 2231614919412903
BaseRepresentation
bin1001001110100010100110…
…1001111011100110101100
31022220220002011211110100112
42103220221221323212230
52312210300333023202
633324423204315152
72064660520552304
oct223505151734654
938826064743315
1010145411611052
113261710400693
12117a2b99a2ab8
13587928c24623
1427107d366604
15128d8acc4b52
hex93a29a7b9ac

10145411611052 has 96 divisors (see below), whose sum is σ = 18691851644928. Its totient is φ = 4811980320000.

The previous prime is 10145411610979. The next prime is 10145411611057. The reversal of 10145411611052 is 25011611454101.

It is not an unprimeable number, because it can be changed into a prime (10145411611057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3494801033 + ... + 3494803935.

It is an arithmetic number, because the mean of its divisors is an integer number (194706787968).

Almost surely, 210145411611052 is an apocalyptic number.

It is an amenable number.

10145411611052 is a deficient number, since it is larger than the sum of its proper divisors (8546440033876).

10145411611052 is a wasteful number, since it uses less digits than its factorization.

10145411611052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4431 (or 4429 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 32.

The spelling of 10145411611052 in words is "ten trillion, one hundred forty-five billion, four hundred eleven million, six hundred eleven thousand, fifty-two".

Divisors: 1 2 4 31 61 62 122 124 244 491 941 982 1882 1891 1964 2903 3764 3782 5806 7564 11612 15221 29171 29951 30442 57401 58342 59902 60884 89993 114802 116684 119804 177083 179986 229604 354166 359972 462031 708332 924062 928481 1425373 1779431 1848124 1856962 2731723 2850746 3558862 3713924 5463446 5489573 5701492 7117724 10926892 10979146 14322961 21958292 28183891 28645922 44186563 56367782 57291844 84683413 86947753 88373126 112735564 166635103 169366826 173895506 176746252 333270206 338733652 347791012 666540412 873700621 1341275993 1747401242 2682551986 2695380343 3494802484 5165688193 5365103972 5390760686 10331376386 10781521372 20662752772 41579555783 81817835573 83159111566 163635671146 166318223132 327271342292 2536352902763 5072705805526 10145411611052