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142442202400 = 2552459138783
BaseRepresentation
bin1000010010101000110…
…1111000010100100000
3111121200001010121121221
42010222031320110200
54313210200434100
6145234222424424
713201564512631
oct2045215702440
9447601117557
10142442202400
1155455a00a33
1223733732114
1310580835a84
146c73b15888
153a8a33201a
hex212a378520

142442202400 has 72 divisors (see below), whose sum is σ = 347821737984. Its totient is φ = 56963001600.

The previous prime is 142442202391. The next prime is 142442202401. The reversal of 142442202400 is 4202244241.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (142442202401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3653409 + ... + 3692191.

It is an arithmetic number, because the mean of its divisors is an integer number (4830857472).

Almost surely, 2142442202400 is an apocalyptic number.

142442202400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142442202400 is an abundant number, since it is smaller than the sum of its proper divisors (205379535584).

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

142442202400 is a wasteful number, since it uses less digits than its factorization.

142442202400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43394 (or 43381 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 25.

Adding to 142442202400 its reverse (4202244241), we get a palindrome (146644446641).

The spelling of 142442202400 in words is "one hundred forty-two billion, four hundred forty-two million, two hundred two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 4591 9182 18364 22955 36728 38783 45910 73456 77566 91820 114775 146912 155132 183640 193915 229550 310264 367280 387830 459100 620528 734560 775660 918200 969575 1241056 1551320 1836400 1939150 3102640 3672800 3878300 6205280 7756600 15513200 31026400 178052753 356105506 712211012 890263765 1424422024 1780527530 2848844048 3561055060 4451318825 5697688096 7122110120 8902637650 14244220240 17805275300 28488440480 35610550600 71221101200 142442202400