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142322264400 = 24352118601887
BaseRepresentation
bin1000010010001100010…
…0010110100101010000
3111121100200110010121210
42010203010112211100
54312433444430100
6145214300020120
713165610200311
oct2044304264520
9447320403553
10142322264400
11553a4231818
12236bb531640
1310561a31144
146c61c14608
153a7ea3ec50
hex2123116950

142322264400 has 60 divisors (see below), whose sum is σ = 455905657472. Its totient is φ = 37952603520.

The previous prime is 142322264389. The next prime is 142322264411. The reversal of 142322264400 is 4462223241.

It is an interprime number because it is at equal distance from previous prime (142322264389) and next prime (142322264411).

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59299744 + ... + 59302143.

Almost surely, 2142322264400 is an apocalyptic number.

142322264400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142322264400 is an abundant number, since it is smaller than the sum of its proper divisors (313583393072).

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

142322264400 is a wasteful number, since it uses less digits than its factorization.

142322264400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118601908 (or 118601897 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 142322264400 its reverse (4462223241), we get a palindrome (146784487641).

The spelling of 142322264400 in words is "one hundred forty-two billion, three hundred twenty-two million, two hundred sixty-four thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 118601887 237203774 355805661 474407548 593009435 711611322 948815096 1186018870 1423222644 1779028305 1897630192 2372037740 2846445288 2965047175 3558056610 4744075480 5692890576 5930094350 7116113220 8895141525 9488150960 11860188700 14232226440 17790283050 23720377400 28464452880 35580566100 47440754800 71161132200 142322264400