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142431002211120 = 2435784780358459
BaseRepresentation
bin100000011000101001001101…
…010010101011001100110000
3200200022021022102210021010120
4200120221031102223030300
5122132042143031223440
61222531522113130240
742000205004114250
oct4030511522531460
9620267272707116
10142431002211120
1141423715641507
1213b840ba559980
1361622554aa90c
1427259a950d960
15116ee559a7dd0
hex818a4d4ab330

142431002211120 has 80 divisors (see below), whose sum is σ = 504612693553920. Its totient is φ = 32555657647872.

The previous prime is 142431002211073. The next prime is 142431002211137. The reversal of 142431002211120 is 21112200134241.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42390177550 + ... + 42390180909.

It is an arithmetic number, because the mean of its divisors is an integer number (6307658669424).

Almost surely, 2142431002211120 is an apocalyptic number.

142431002211120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142431002211120 is an abundant number, since it is smaller than the sum of its proper divisors (362181691342800).

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

142431002211120 is a wasteful number, since it uses less digits than its factorization.

142431002211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84780358482 (or 84780358476 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 142431002211120 its reverse (21112200134241), we get a palindrome (163543202345361).

The spelling of 142431002211120 in words is "one hundred forty-two trillion, four hundred thirty-one billion, two million, two hundred eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 84780358459 169560716918 254341075377 339121433836 423901792295 508682150754 593462509213 678242867672 847803584590 1017364301508 1186925018426 1271705376885 1356485735344 1695607169180 1780387527639 2034728603016 2373850036852 2543410753770 2967312546065 3391214338360 3560775055278 4069457206032 4747700073704 5086821507540 5934625092130 6782428676720 7121550110556 8901937638195 9495400147408 10173643015080 11869250184260 14243100221112 17803875276390 20347286030160 23738500368520 28486200442224 35607750552780 47477000737040 71215501105560 142431002211120