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102141531045414 = 23271794528754591
BaseRepresentation
bin10111001110010110101101…
…101011001011111000100110
3111101122122010220210102110200
4113032112231223023320212
5101341441323421423124
61001123101021131330
730341324233526010
oct2716265553137046
9441578126712420
10102141531045414
112a5aaa864a6193
12b5578680b9b46
1344cbb9c511323
141b319683951b0
15bc1e07aebbc9
hex5ce5adacbe26

102141531045414 has 48 divisors (see below), whose sum is σ = 254334857886720. Its totient is φ = 29020259412720.

The previous prime is 102141531045401. The next prime is 102141531045443. The reversal of 102141531045414 is 414540135141201.

102141531045414 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 4 + 1 + 5 + 3 + 104 + 541 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2264354742 + ... + 2264399849.

It is an arithmetic number, because the mean of its divisors is an integer number (5298642872640).

Almost surely, 2102141531045414 is an apocalyptic number.

102141531045414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

102141531045414 is an abundant number, since it is smaller than the sum of its proper divisors (152193326841306).

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

102141531045414 is a wasteful number, since it uses less digits than its factorization.

102141531045414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4528754785 (or 4528754782 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

Adding to 102141531045414 its reverse (414540135141201), we get a palindrome (516681666186615).

The spelling of 102141531045414 in words is "one hundred two trillion, one hundred forty-one billion, five hundred thirty-one million, forty-five thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 179 358 537 1074 1253 1611 2506 3222 3759 7518 11277 22554 4528754591 9057509182 13586263773 27172527546 31701282137 40758791319 63402564274 81517582638 95103846411 190207692822 285311539233 570623078466 810647071789 1621294143578 2431941215367 4863882430734 5674529502523 7295823646101 11349059005046 14591647292202 17023588507569 34047177015138 51070765522707 102141531045414