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144531641640 = 23358314511209
BaseRepresentation
bin1000011010011011000…
…0011101010100101000
3111211001122210010102110
42012212300131110220
54332000100013030
6150221422402320
713304425453341
oct2064660352450
9454048703373
10144531641640
1156328386621
12240174303a0
1310824696a59
146dd14130c8
153b5d9b01b0
hex21a6c1d528

144531641640 has 64 divisors (see below), whose sum is σ = 438818990400. Its totient is φ = 38077409792.

The previous prime is 144531641603. The next prime is 144531641663. The reversal of 144531641640 is 46146135441.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7245645 + ... + 7265564.

It is an arithmetic number, because the mean of its divisors is an integer number (6856546725).

Almost surely, 2144531641640 is an apocalyptic number.

144531641640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144531641640 is an abundant number, since it is smaller than the sum of its proper divisors (294287348760).

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

144531641640 is a wasteful number, since it uses less digits than its factorization.

144531641640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14511306 (or 14511302 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The spelling of 144531641640 in words is "one hundred forty-four billion, five hundred thirty-one million, six hundred forty-one thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 83 120 166 249 332 415 498 664 830 996 1245 1660 1992 2490 3320 4980 9960 14511209 29022418 43533627 58044836 72556045 87067254 116089672 145112090 174134508 217668135 290224180 348269016 435336270 580448360 870672540 1204430347 1741345080 2408860694 3613291041 4817721388 6022151735 7226582082 9635442776 12044303470 14453164164 18066455205 24088606940 28906328328 36132910410 48177213880 72265820820 144531641640