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1142426112 = 2931767653
BaseRepresentation
bin100010000011000…
…0000101000000000
32221121200021000020
41010012000220000
54314430113422
6305210053440
740211314242
oct10406005000
92847607006
101142426112
11536962713
1227a71a280
131528b68a9
14aba24092
156a46695c
hex44180a00

1142426112 has 160 divisors (see below), whose sum is σ = 3275629632. Its totient is φ = 352518144.

The previous prime is 1142426099. The next prime is 1142426113. The reversal of 1142426112 is 2116242411.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (1142426113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1749178 + ... + 1749830.

Almost surely, 21142426112 is an apocalyptic number.

1142426112 is a gapful number since it is divisible by the number (12) 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 1142426112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1637814816).

1142426112 is an abundant number, since it is smaller than the sum of its proper divisors (2133203520).

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

1142426112 is an equidigital number, since it uses as much as digits as its factorization.

1142426112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 758 (or 742 counting only the distinct ones).

The product of its digits is 768, while the sum is 24.

The square root of 1142426112 is about 33799.7945555886. The cubic root of 1142426112 is about 1045.3844611487.

Adding to 1142426112 its reverse (2116242411), we get a palindrome (3258668523).

The spelling of 1142426112 in words is "one billion, one hundred forty-two million, four hundred twenty-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 67 68 96 102 128 134 136 192 201 204 256 268 272 384 402 408 512 536 544 653 768 804 816 1072 1088 1139 1306 1536 1608 1632 1959 2144 2176 2278 2612 3216 3264 3417 3918 4288 4352 4556 5224 6432 6528 6834 7836 8576 8704 9112 10448 11101 12864 13056 13668 15672 17152 18224 20896 22202 25728 26112 27336 31344 33303 34304 36448 41792 43751 44404 51456 54672 62688 66606 72896 83584 87502 88808 102912 109344 125376 131253 133212 145792 167168 175004 177616 218688 250752 262506 266424 291584 334336 350008 355232 437376 501504 525012 532848 583168 700016 710464 743767 874752 1003008 1050024 1065696 1400032 1420928 1487534 1749504 2100048 2131392 2231301 2800064 2841856 2975068 4200096 4262784 4462602 5600128 5683712 5950136 8400192 8525568 8925204 11200256 11900272 16800384 17051136 17850408 22400512 23800544 33600768 35700816 47601088 67201536 71401632 95202176 142803264 190404352 285606528 380808704 571213056 1142426112