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153402461464434 = 237213192112457813
BaseRepresentation
bin100010111000010011001011…
…001110010010011101110010
3202010011010120021222210021220
4202320103023032102131302
5130101321220113330214
61302132041245325510
744211651000051600
oct4270231316223562
9663133507883256
10153402461464434
1144973689336a66
1215256511b66896
136779a36963480
1429c4a0c374870
1512b053b6d49a9
hex8b84cb392772

153402461464434 has 96 divisors (see below), whose sum is σ = 404577920537280. Its totient is φ = 38328434540928.

The previous prime is 153402461464393. The next prime is 153402461464459. The reversal of 153402461464434 is 434464164204351.

It is a Curzon number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1056156289 + ... + 1056301524.

It is an arithmetic number, because the mean of its divisors is an integer number (4214353338930).

Almost surely, 2153402461464434 is an apocalyptic number.

153402461464434 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

153402461464434 is an abundant number, since it is smaller than the sum of its proper divisors (251175459072846).

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

153402461464434 is a wasteful number, since it uses less digits than its factorization.

153402461464434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2112457864 (or 2112457857 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 51.

The spelling of 153402461464434 in words is "one hundred fifty-three trillion, four hundred two billion, four hundred sixty-one million, four hundred sixty-four thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 13 14 19 21 26 38 39 42 49 57 78 91 98 114 133 147 182 247 266 273 294 399 494 546 637 741 798 931 1274 1482 1729 1862 1911 2793 3458 3822 5187 5586 10374 12103 24206 36309 72618 2112457813 4224915626 6337373439 12674746878 14787204691 27461951569 29574409382 40136698447 44361614073 54923903138 80273396894 82385854707 88723228146 103510432837 120410095341 164771709414 192233660983 207020865674 240820190682 280956889129 310531298511 384467321966 521777079811 561913778258 576700982949 621062597022 842870667387 1043554159622 1153401965898 1345635626881 1565331239433 1685741334774 1966698223903 2691271253762 3130662478866 3652439558677 3933396447806 4036906880643 5900094671709 7304879117354 8073813761286 10957318676031 11800189343418 21914637352062 25567076910739 51134153821478 76701230732217 153402461464434