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134246144304 = 24323161493001
BaseRepresentation
bin111110100000110110…
…0011001100100110000
3110211111211210201120200
41331001230121210300
54144414003104204
6141401040435200
712461513253546
oct1750154314460
9424454721520
10134246144304
1151a2a4a31a8
1222026918b00
13c8757b895c
1466d73b3d96
15375aa0a539
hex1f41b19930

134246144304 has 120 divisors (see below), whose sum is σ = 394180735104. Its totient is φ = 42595200000.

The previous prime is 134246144303. The next prime is 134246144353. The reversal of 134246144304 is 403441642431.

134246144304 is a `hidden beast` number, since 1 + 3 + 4 + 2 + 4 + 614 + 4 + 30 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (134246144303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25804 + ... + 518804.

Almost surely, 2134246144304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134246144304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197090367552).

134246144304 is an abundant number, since it is smaller than the sum of its proper divisors (259934590800).

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

134246144304 is a wasteful number, since it uses less digits than its factorization.

134246144304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493107 (or 493098 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 134246144304 its reverse (403441642431), we get a palindrome (537687786735).

The spelling of 134246144304 in words is "one hundred thirty-four billion, two hundred forty-six million, one hundred forty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 61 62 72 93 122 124 144 183 186 244 248 279 366 372 488 496 549 558 732 744 976 1098 1116 1464 1488 1891 2196 2232 2928 3782 4392 4464 5673 7564 8784 11346 15128 17019 22692 30256 34038 45384 68076 90768 136152 272304 493001 986002 1479003 1972004 2958006 3944008 4437009 5916012 7888016 8874018 11832024 15283031 17748036 23664048 30073061 30566062 35496072 45849093 60146122 61132124 70992144 90219183 91698186 120292244 122264248 137547279 180438366 183396372 240584488 244528496 270657549 275094558 360876732 366792744 481168976 541315098 550189116 721753464 733585488 932264891 1082630196 1100378232 1443506928 1864529782 2165260392 2200756464 2796794673 3729059564 4330520784 5593589346 7458119128 8390384019 11187178692 14916238256 16780768038 22374357384 33561536076 44748714768 67123072152 134246144304