Search a number
-
+
1432343485608 = 233731409672439
BaseRepresentation
bin10100110101111110010…
…100110001110010101000
312001221010110222002202020
4110311332110301302220
5141431414413014413
63014002015504440
7205324543513320
oct24657624616250
95057113862666
101432343485608
115024a9613792
121b1720b28120
13a50b965b339
144d47bda2280
15273d2899c23
hex14d7e531ca8

1432343485608 has 128 divisors (see below), whose sum is σ = 4234758144000. Its totient is φ = 395070773760.

The previous prime is 1432343485597. The next prime is 1432343485613. The reversal of 1432343485608 is 8065843432341.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1793853 + ... + 2466291.

It is an arithmetic number, because the mean of its divisors is an integer number (33084048000).

Almost surely, 21432343485608 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 1432343485608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2117379072000).

1432343485608 is an abundant number, since it is smaller than the sum of its proper divisors (2802414658392).

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

1432343485608 is a wasteful number, since it uses less digits than its factorization.

1432343485608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672895 (or 672891 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 51.

The spelling of 1432343485608 in words is "one trillion, four hundred thirty-two billion, three hundred forty-three million, four hundred eighty-five thousand, six hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 56 62 84 93 124 168 186 217 248 372 409 434 651 744 818 868 1227 1302 1636 1736 2454 2604 2863 3272 4908 5208 5726 8589 9816 11452 12679 17178 22904 25358 34356 38037 50716 68712 76074 88753 101432 152148 177506 266259 304296 355012 532518 672439 710024 1065036 1344878 2017317 2130072 2689756 4034634 4707073 5379512 8069268 9414146 14121219 16138536 18828292 20845609 28242438 37656584 41691218 56484876 62536827 83382436 112969752 125073654 145919263 166764872 250147308 275027551 291838526 437757789 500294616 550055102 583677052 825082653 875515578 1100110204 1167354104 1650165306 1751031156 1925192857 2200220408 3300330612 3502062312 3850385714 5775578571 6600661224 7700771428 8525854081 11551157142 15401542856 17051708162 23102314284 25577562243 34103416324 46204628568 51155124486 59680978567 68206832648 102310248972 119361957134 179042935701 204620497944 238723914268 358085871402 477447828536 716171742804 1432343485608