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32439882142404 = 2232112862972
BaseRepresentation
bin1110110000000111111111…
…01001101101001011000100
311020212020000011101201201100
413120003333221231023010
513222443334312024104
6152554402013100100
76555463343410032
oct730037751551304
9136766004351640
1032439882142404
11a377749844100
12377b096a87630
1315140b5b3a489
14802154a8b552
153b3c80b56139
hex1d80ffa6d2c4

32439882142404 has 81 divisors (see below), whose sum is σ = 90134169710221. Its totient is φ = 9830153403840.

The previous prime is 32439882142387. The next prime is 32439882142427. The reversal of 32439882142404 is 40424128893423.

The square root of 32439882142404 is 5695602.

It is a perfect power (a square), and thus also a powerful number.

32439882142404 is a `hidden beast` number, since 3 + 2 + 4 + 3 + 98 + 8 + 2 + 142 + 404 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1504572092100 + 30935310050304 = 1226610^2 + 5561952^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 375866584 + ... + 375952880.

Almost surely, 232439882142404 is an apocalyptic number.

32439882142404 is the 5695602-nd square number.

It is an amenable number.

32439882142404 is an abundant number, since it is smaller than the sum of its proper divisors (57694287567817).

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

32439882142404 is an frugal number, since it uses more digits than its factorization.

32439882142404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172626 (or 86313 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 54.

The spelling of 32439882142404 in words is "thirty-two trillion, four hundred thirty-nine billion, eight hundred eighty-two million, one hundred forty-two thousand, four hundred four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 1089 1452 2178 4356 86297 172594 258891 345188 517782 776673 949267 1035564 1553346 1898534 2847801 3106692 3797068 5695602 8543403 10441937 11391204 17086806 20883874 31325811 34173612 41767748 62651622 93977433 125303244 187954866 375909732 7447172209 14894344418 22341516627 29788688836 44683033254 67024549881 81918894299 89366066508 134049099762 163837788598 245756682897 268098199524 327675577196 491513365794 737270048691 901107837289 983026731588 1474540097382 1802215674578 2703323511867 2949080194764 3604431349156 5406647023734 8109970535601 10813294047468 16219941071202 32439882142404