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3432143663214 = 23741103107180847
BaseRepresentation
bin110001111100011011101…
…101000011000001101110
3110011002221222210220220220
4301330123231003001232
5422213012234210324
611144412141552210
7502651501533660
oct61743355030156
913132858726826
103432143663214
111103622692aa2
12475209b75666
131bb85a69b1b6
14bc18c0b8530
155e428055b79
hex31f1bb4306e

3432143663214 has 128 divisors (see below), whose sum is σ = 8190140055552. Its totient is φ = 938547336960.

The previous prime is 3432143663209. The next prime is 3432143663261. The reversal of 3432143663214 is 4123663412343.

It is a super-3 number, since 3×34321436632143 (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18887739 + ... + 19068585.

It is an arithmetic number, because the mean of its divisors is an integer number (63985469184).

Almost surely, 23432143663214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3432143663214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4095070027776).

3432143663214 is an abundant number, since it is smaller than the sum of its proper divisors (4757996392338).

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

3432143663214 is a wasteful number, since it uses less digits than its factorization.

3432143663214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181110.

The product of its digits is 746496, while the sum is 42.

The spelling of 3432143663214 in words is "three trillion, four hundred thirty-two billion, one hundred forty-three million, six hundred sixty-three thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 14 21 41 42 82 103 107 123 206 214 246 287 309 321 574 618 642 721 749 861 1442 1498 1722 2163 2247 4223 4326 4387 4494 8446 8774 11021 12669 13161 22042 25338 26322 29561 30709 33063 59122 61418 66126 77147 88683 92127 154294 177366 180847 184254 231441 361694 451861 462882 542541 903722 1085082 1265929 1355583 2531858 2711166 3163027 3797787 6326054 7414727 7595574 9489081 14829454 18627241 18978162 19350629 22244181 37254482 38701258 44488362 51903089 55881723 58051887 103806178 111763446 116103774 130390687 135454403 155709267 260781374 270908806 311418534 391172061 406363209 763716881 782344122 793375789 812726418 1527433762 1586751578 1993114787 2291150643 2380127367 3986229574 4582301286 4760254734 5346018167 5553630523 5979344361 10692036334 11107261046 11958688722 13951803509 16038054501 16660891569 27903607018 32076109002 33321783138 41855410527 81717706267 83710821054 163435412534 245153118801 490306237602 572023943869 1144047887738 1716071831607 3432143663214