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142990944 = 25317412137
BaseRepresentation
bin10001000010111…
…01111001100000
3100222001200200220
420201131321200
5243101202234
622104443040
73354255135
oct1041357140
9328050626
10142990944
1173795238
123ba79480
1323816835
1414dc258c
15c847a49
hex885de60

142990944 has 96 divisors (see below), whose sum is σ = 407314656. Its totient is φ = 43745280.

The previous prime is 142990943. The next prime is 142990957. The reversal of 142990944 is 449099241.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1429909442 = 40892820132022272, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 142990896 and 142990905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142990943) 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, 65844 + ... + 67980.

It is an arithmetic number, because the mean of its divisors is an integer number (4242861).

Almost surely, 2142990944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142990944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203657328).

142990944 is an abundant number, since it is smaller than the sum of its proper divisors (264323712).

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

142990944 is a wasteful number, since it uses less digits than its factorization.

142990944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2208 (or 2200 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 142990944 is about 11957.8820867242. The cubic root of 142990944 is about 522.9211140764.

The spelling of 142990944 in words is "one hundred forty-two million, nine hundred ninety thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 41 48 51 68 82 96 102 123 136 164 204 246 272 328 408 492 544 656 697 816 984 1312 1394 1632 1968 2091 2137 2788 3936 4182 4274 5576 6411 8364 8548 11152 12822 16728 17096 22304 25644 33456 34192 36329 51288 66912 68384 72658 87617 102576 108987 145316 175234 205152 217974 262851 290632 350468 435948 525702 581264 700936 871896 1051404 1162528 1401872 1489489 1743792 2102808 2803744 2978978 3487584 4205616 4468467 5957956 8411232 8936934 11915912 17873868 23831824 35747736 47663648 71495472 142990944