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142321012402248 = 233242127971678657
BaseRepresentation
bin100000010111000010110001…
…011000110110100001001000
3200122220202102001120001100200
4200113002301120312201020
5122123241413133332443
61222405212005532200
741656232235140451
oct4027026130664110
9618822361501320
10142321012402248
1141391003222119
1213b66923114060
136154a7713b584
142720533820128
15116c169724dd3
hex8170b1636848

142321012402248 has 96 divisors (see below), whose sum is σ = 386506673562360. Its totient is φ = 47310703534080.

The previous prime is 142321012402207. The next prime is 142321012402249. The reversal of 142321012402248 is 842204210123241.

142321012402248 is a `hidden beast` number, since 1 + 4 + 2 + 3 + 2 + 1 + 0 + 1 + 2 + 402 + 248 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 84918842080164 + 57402170322084 = 9215142^2 + 7576422^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (142321012402249) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83943336 + ... + 85621992.

Almost surely, 2142321012402248 is an apocalyptic number.

142321012402248 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

142321012402248 is an abundant number, since it is smaller than the sum of its proper divisors (244185661160112).

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

142321012402248 is a wasteful number, since it uses less digits than its factorization.

142321012402248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1681887 (or 1681880 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

Adding to 142321012402248 its reverse (842204210123241), we get a palindrome (984525222525489).

The spelling of 142321012402248 in words is "one hundred forty-two trillion, three hundred twenty-one billion, twelve million, four hundred two thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 421 842 1263 1684 2526 2797 3368 3789 5052 5594 7578 8391 10104 11188 15156 16782 22376 25173 30312 33564 50346 67128 100692 201384 1177537 1678657 2355074 3357314 3532611 4710148 5035971 6714628 7065222 9420296 10071942 10597833 13429256 14130444 15107913 20143884 21195666 28260888 30215826 40287768 42391332 60431652 84782664 120863304 706714597 1413429194 2120143791 2826858388 4240287582 4695203629 5653716776 6360431373 8480575164 9390407258 12720862746 14085610887 16961150328 18780814516 25441725492 28171221774 37561629032 42256832661 50883450984 56342443548 84513665322 112684887096 169027330644 338054661288 1976680727809 3953361455618 5930042183427 7906722911236 11860084366854 15813445822472 17790126550281 23720168733708 35580253100562 47440337467416 71160506201124 142321012402248