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146139153804 = 22347173790309
BaseRepresentation
bin1000100000011010010…
…0101000010110001100
3111222012200121012120000
42020012210220112030
54343243110410204
6151045125124300
713362315211620
oct2100644502614
9458180535500
10146139153804
1156a82819276
12243a5859690
1310a1c72cb97
147104b01180
153c04b95039
hex220692858c

146139153804 has 120 divisors (see below), whose sum is σ = 462296530080. Its totient is φ = 39297913344.

The previous prime is 146139153763. The next prime is 146139153817. The reversal of 146139153804 is 408351931641.

146139153804 is a `hidden beast` number, since 1 + 461 + 39 + 153 + 8 + 0 + 4 = 666.

146139153804 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 146139153804.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1856599 + ... + 1933710.

It is an arithmetic number, because the mean of its divisors is an integer number (3852471084).

Almost surely, 2146139153804 is an apocalyptic number.

146139153804 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

146139153804 is an abundant number, since it is smaller than the sum of its proper divisors (316157376276).

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

146139153804 is a wasteful number, since it uses less digits than its factorization.

146139153804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3790349 (or 3790338 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 146139153804 in words is "one hundred forty-six billion, one hundred thirty-nine million, one hundred fifty-three thousand, eight hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 27 28 34 36 42 51 54 63 68 81 84 102 108 119 126 153 162 189 204 238 252 306 324 357 378 459 476 567 612 714 756 918 1071 1134 1377 1428 1836 2142 2268 2754 3213 4284 5508 6426 9639 12852 19278 38556 3790309 7580618 11370927 15161236 22741854 26532163 34112781 45483708 53064326 64435253 68225562 79596489 102338343 106128652 128870506 136451124 159192978 193305759 204676686 238789467 257741012 307015029 318385956 386611518 409353372 451046771 477578934 579917277 614030058 716368401 773223036 902093542 955157868 1159834554 1228060116 1353140313 1432736802 1739751831 1804187084 2149105203 2319669108 2706280626 2865473604 3479503662 4059420939 4298210406 5219255493 5412561252 6959007324 8118841878 8596420812 10438510986 12178262817 16237683756 20877021972 24356525634 36534788451 48713051268 73069576902 146139153804