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342011100144 = 24371831155589
BaseRepresentation
bin1001111101000010111…
…00110011101111110000
31012200210100020001000010
410332201130303233300
521100414320201034
6421041232454520
733465232246020
oct4764134635760
91180710201003
10342011100144
1112205639367a
125634a9aa440
1326336743a4c
14127a6857a80
158d6a9ec3e9
hex4fa1733bf0

342011100144 has 80 divisors (see below), whose sum is σ = 1009820367360. Its totient is φ = 97710362880.

The previous prime is 342011100143. The next prime is 342011100169. The reversal of 342011100144 is 441001110243.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 342011100144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342011100143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6124702 + ... + 6180290.

It is an arithmetic number, because the mean of its divisors is an integer number (12622754592).

Almost surely, 2342011100144 is an apocalyptic number.

It is an amenable number.

342011100144 is an abundant number, since it is smaller than the sum of its proper divisors (667809267216).

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

342011100144 is a wasteful number, since it uses less digits than its factorization.

342011100144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73918 (or 73912 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 342011100144 its reverse (441001110243), we get a palindrome (783012210387).

The spelling of 342011100144 in words is "three hundred forty-two billion, eleven million, one hundred thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 18311 36622 54933 55589 73244 109866 111178 128177 146488 166767 219732 222356 256354 292976 333534 384531 389123 439464 444712 512708 667068 769062 778246 878928 889424 1025416 1167369 1334136 1538124 1556492 2050832 2334738 2668272 3076248 3112984 4669476 6152496 6225968 9338952 18677904 1017890179 2035780358 3053670537 4071560716 6107341074 7125231253 8143121432 12214682148 14250462506 16286242864 21375693759 24429364296 28500925012 42751387518 48858728592 57001850024 85502775036 114003700048 171005550072 342011100144