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142232344400 = 24522912261409
BaseRepresentation
bin1000010001110110110…
…1010101011101010000
3111121010102020201120102
42010131231111131100
54312242440010100
6145201324431532
713163435660006
oct2043555253520
9447112221512
10142232344400
11553584a5573
12236953a85a8
1310549209743
146c53cc8a76
153a76bcbcd5
hex211db55750

142232344400 has 60 divisors (see below), whose sum is σ = 353496450300. Its totient is φ = 54931107840.

The previous prime is 142232344399. The next prime is 142232344439. The reversal of 142232344400 is 4443232241.

It can be written as a sum of positive squares in 6 ways, for example, as 6272006416 + 135960337984 = 79196^2 + 368728^2 .

It is a super-2 number, since 2×1422323444002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6119105 + ... + 6142304.

It is an arithmetic number, because the mean of its divisors is an integer number (5891607505).

Almost surely, 2142232344400 is an apocalyptic number.

142232344400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142232344400 is an abundant number, since it is smaller than the sum of its proper divisors (211264105900).

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

142232344400 is a wasteful number, since it uses less digits than its factorization.

142232344400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12261456 (or 12261445 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 29.

Adding to 142232344400 its reverse (4443232241), we get a palindrome (146675576641).

The spelling of 142232344400 in words is "one hundred forty-two billion, two hundred thirty-two million, three hundred forty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 29 40 50 58 80 100 116 145 200 232 290 400 464 580 725 1160 1450 2320 2900 5800 11600 12261409 24522818 49045636 61307045 98091272 122614090 196182544 245228180 306535225 355580861 490456360 613070450 711161722 980912720 1226140900 1422323444 1777904305 2452281800 2844646888 3555808610 4904563600 5689293776 7111617220 8889521525 14223234440 17779043050 28446468880 35558086100 71116172200 142232344400