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142360212005456 = 24174153240857401
BaseRepresentation
bin100000010111100111010001…
…110111011110001001010000
3200200001111120221112012212112
4200113213101313132021100
5122124412203233133311
61222435213433244452
741662120523233064
oct4027472167361120
9620044527465775
10142360212005456
11413a6699399205
1213b72442b63728
13615868342c463
1427223b199baa4
15116d1b0d0728b
hex8179d1dde250

142360212005456 has 80 divisors (see below), whose sum is σ = 304815639956688. Its totient is φ = 64125874176000.

The previous prime is 142360212005381. The next prime is 142360212005537. The reversal of 142360212005456 is 654500212063241.

It can be written as a sum of positive squares in 8 ways, for example, as 2987076195856 + 139373135809600 = 1728316^2 + 11805640^2 .

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119837645 + ... + 121019756.

Almost surely, 2142360212005456 is an apocalyptic number.

142360212005456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

142360212005456 is an abundant number, since it is smaller than the sum of its proper divisors (162455427951232).

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

142360212005456 is a wasteful number, since it uses less digits than its factorization.

142360212005456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240857520 (or 240857514 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 41.

Adding to 142360212005456 its reverse (654500212063241), we get a palindrome (796860424068697).

The spelling of 142360212005456 in words is "one hundred forty-two trillion, three hundred sixty billion, two hundred twelve million, five thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 17 34 41 53 68 82 106 136 164 212 272 328 424 656 697 848 901 1394 1802 2173 2788 3604 4346 5576 7208 8692 11152 14416 17384 34768 36941 73882 147764 295528 591056 240857401 481714802 963429604 1926859208 3853718416 4094575817 8189151634 9875153441 12765442253 16378303268 19750306882 25530884506 32756606536 39500613764 51061769012 65513213072 79001227528 102123538024 158002455056 167877608497 204247076048 217012518301 335755216994 434025036602 523383132373 671510433988 868050073204 1046766264746 1343020867976 1736100146408 2093532529492 2686041735952 3472200292816 4187065058984 8374130117968 8897513250341 17795026500682 35590053001364 71180106002728 142360212005456