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142881316800 = 2635229766941
BaseRepresentation
bin1000010100010001100…
…0111101111111000000
3111122210122101221100020
42011010120331333000
54320110104114200
6145345550253440
713215506103555
oct2050430757700
9448718357306
10142881316800
11556608620a2
12238367b7280
13106207c0a91
146cb617ca2c
153ab3b6eea0
hex214463dfc0

142881316800 has 84 divisors (see below), whose sum is σ = 468769802616. Its totient is φ = 38101683200.

The previous prime is 142881316793. The next prime is 142881316801. The reversal of 142881316800 is 8613188241.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142881316801) 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 11 ways as a sum of consecutive naturals, for example, 14878671 + ... + 14888270.

Almost surely, 2142881316800 is an apocalyptic number.

142881316800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142881316800 is an abundant number, since it is smaller than the sum of its proper divisors (325888485816).

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

142881316800 is a wasteful number, since it uses less digits than its factorization.

142881316800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29766966 (or 29766951 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 42.

The spelling of 142881316800 in words is "one hundred forty-two billion, eight hundred eighty-one million, three hundred sixteen thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 150 160 192 200 240 300 320 400 480 600 800 960 1200 1600 2400 4800 29766941 59533882 89300823 119067764 148834705 178601646 238135528 297669410 357203292 446504115 476271056 595338820 714406584 744173525 893008230 952542112 1190677640 1428813168 1488347050 1786016460 1905084224 2232520575 2381355280 2857626336 2976694100 3572032920 4465041150 4762710560 5715252672 5953388200 7144065840 8930082300 9525421120 11906776400 14288131680 17860164600 23813552800 28576263360 35720329200 47627105600 71440658400 142881316800