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143491968 = 2732172431
BaseRepresentation
bin10001000110110…
…00001110000000
3101000000010222100
420203120032000
5243213220333
622123310400
73361442634
oct1043301600
9330003870
10143491968
1173aa7704
124007b400
13239608b9
14150b2dc4
15c8e6213
hex88d8380

143491968 has 144 divisors (see below), whose sum is σ = 439648560. Its totient is φ = 44912640.

The previous prime is 143491927. The next prime is 143491969. The reversal of 143491968 is 869194341.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (143491969) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 332713 + ... + 333143.

It is an arithmetic number, because the mean of its divisors is an integer number (3053115).

Almost surely, 2143491968 is an apocalyptic number.

143491968 is a gapful number since it is divisible by the number (18) 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 143491968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219824280).

143491968 is an abundant number, since it is smaller than the sum of its proper divisors (296156592).

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

143491968 is a wasteful number, since it uses less digits than its factorization.

143491968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 453 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 143491968 is about 11978.8132968170. The cubic root of 143491968 is about 523.5311541572.

The spelling of 143491968 in words is "one hundred forty-three million, four hundred ninety-one thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 128 136 144 153 192 204 272 288 289 306 384 408 431 544 576 578 612 816 862 867 1088 1152 1156 1224 1293 1632 1724 1734 2176 2312 2448 2586 2601 3264 3448 3468 3879 4624 4896 5172 5202 6528 6896 6936 7327 7758 9248 9792 10344 10404 13792 13872 14654 15516 18496 19584 20688 20808 21981 27584 27744 29308 31032 36992 41376 41616 43962 55168 55488 58616 62064 65943 82752 83232 87924 110976 117232 124128 124559 131886 165504 166464 175848 234464 248256 249118 263772 332928 351696 373677 468928 496512 498236 527544 703392 747354 937856 996472 1055088 1121031 1406784 1494708 1992944 2110176 2242062 2813568 2989416 3985888 4220352 4484124 5978832 7971776 8440704 8968248 11957664 15943552 17936496 23915328 35872992 47830656 71745984 143491968