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142419456 = 293231997
BaseRepresentation
bin10000111110100…
…10011000000000
3100220222122202200
420133102120000
5242424410311
622044313200
73346355034
oct1037223000
9326878680
10142419456
1173434933
123b842800
132367668a
1414cb41c4
15c783556
hex87d2600

142419456 has 120 divisors (see below), whose sum is σ = 424716864. Its totient is φ = 45895680.

The previous prime is 142419419. The next prime is 142419469. The reversal of 142419456 is 654914241.

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

It is a self number, because there is not a number n which added to its sum of digits gives 142419456.

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, 142350 + ... + 143346.

Almost surely, 2142419456 is an apocalyptic number.

142419456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142419456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212358432).

142419456 is an abundant number, since it is smaller than the sum of its proper divisors (282297408).

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

142419456 is an equidigital number, since it uses as much as digits as its factorization.

142419456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1052 (or 1033 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 142419456 is about 11933.9622925498. The cubic root of 142419456 is about 522.2235357410.

The spelling of 142419456 in words is "one hundred forty-two million, four hundred nineteen thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 128 144 186 192 248 256 279 288 372 384 496 512 558 576 744 768 992 997 1116 1152 1488 1536 1984 1994 2232 2304 2976 2991 3968 3988 4464 4608 5952 5982 7936 7976 8928 8973 11904 11964 15872 15952 17856 17946 23808 23928 30907 31904 35712 35892 47616 47856 61814 63808 71424 71784 92721 95712 123628 127616 142848 143568 185442 191424 247256 255232 278163 287136 370884 382848 494512 510464 556326 574272 741768 765696 989024 1112652 1148544 1483536 1531392 1978048 2225304 2297088 2967072 3956096 4450608 4594176 5934144 7912192 8901216 11868288 15824384 17802432 23736576 35604864 47473152 71209728 142419456