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142009344 = 2103219811
BaseRepresentation
bin10000111011011…
…10010000000000
3100220012211012100
420131232100000
5242323244334
622031430400
73343026261
oct1035562000
9326184170
10142009344
11731847a4
123b685400
1323561ac9
1414c08968
15c701c99
hex876e400

142009344 has 132 divisors (see below), whose sum is σ = 432162640. Its totient is φ = 44789760.

The previous prime is 142009339. The next prime is 142009369. The reversal of 142009344 is 443900241.

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, 174699 + ... + 175509.

Almost surely, 2142009344 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 142009344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216081320).

142009344 is an abundant number, since it is smaller than the sum of its proper divisors (290153296).

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

142009344 is a wasteful number, since it uses less digits than its factorization.

142009344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 856 (or 835 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 142009344 is about 11916.7673468940. The cubic root of 142009344 is about 521.7217877134.

Adding to 142009344 its reverse (443900241), we get a palindrome (585909585).

The spelling of 142009344 in words is "one hundred forty-two million, nine thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 128 144 152 171 192 228 256 288 304 342 384 456 512 576 608 684 768 811 912 1024 1152 1216 1368 1536 1622 1824 2304 2432 2433 2736 3072 3244 3648 4608 4864 4866 5472 6488 7296 7299 9216 9728 9732 10944 12976 14592 14598 15409 19456 19464 21888 25952 29184 29196 30818 38928 43776 46227 51904 58368 58392 61636 77856 87552 92454 103808 116784 123272 138681 155712 175104 184908 207616 233568 246544 277362 311424 369816 415232 467136 493088 554724 622848 739632 830464 934272 986176 1109448 1245696 1479264 1868544 1972352 2218896 2491392 2958528 3737088 3944704 4437792 5917056 7474176 7889408 8875584 11834112 15778816 17751168 23668224 35502336 47336448 71004672 142009344