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142879438960 = 245172331147347
BaseRepresentation
bin1000010100010001000…
…1110011100001110000
3111122210111212112102121
42011010101303201300
54320104114021320
6145345442124024
713215454123036
oct2050421634160
9448714775377
10142879438960
115565a79a265
1223836050614
13106202b412b
146cb5c10556
153ab38ed8aa
hex2144473870

142879438960 has 160 divisors (see below), whose sum is σ = 378870607872. Its totient is φ = 49791160320.

The previous prime is 142879438951. The next prime is 142879438967. The reversal of 142879438960 is 69834978241.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142879438967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 896007 + ... + 1043353.

Almost surely, 2142879438960 is an apocalyptic number.

142879438960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142879438960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189435303936).

142879438960 is an abundant number, since it is smaller than the sum of its proper divisors (235991168912).

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

142879438960 is a wasteful number, since it uses less digits than its factorization.

142879438960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147431 (or 147425 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 61.

The spelling of 142879438960 in words is "one hundred forty-two billion, eight hundred seventy-nine million, four hundred thirty-eight thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 20 23 31 34 40 46 62 68 80 85 92 115 124 136 155 170 184 230 248 272 310 340 368 391 460 496 527 620 680 713 782 920 1054 1240 1360 1426 1564 1840 1955 2108 2480 2635 2852 3128 3565 3910 4216 5270 5704 6256 7130 7820 8432 10540 11408 12121 14260 15640 21080 24242 28520 31280 42160 48484 57040 60605 96968 121210 147347 193936 242420 294694 484840 589388 736735 969680 1178776 1473470 2357552 2504899 2946940 3388981 4567757 5009798 5893880 6777962 9135514 10019596 11787760 12524495 13555924 16944905 18271028 20039192 22838785 25048990 27111848 33889810 36542056 40078384 45677570 50097980 54223696 57612677 67779620 73084112 77651869 91355140 100195960 105058411 115225354 135559240 155303738 182710280 200391920 210116822 230450708 271118480 288063385 310607476 365420560 388259345 420233644 460901416 525292055 576126770 621214952 776518690 840467288 921802832 1050584110 1152253540 1242429904 1553037380 1680934576 1785992987 2101168220 2304507080 3106074760 3571985974 4202336440 4609014160 6212149520 7143971948 8404672880 8929964935 14287943896 17859929870 28575887792 35719859740 71439719480 142879438960