Search a number
-
+
3438662244696 = 2332721757333971
BaseRepresentation
bin110010000010100000001…
…111011101100101011000
3110011201210021200011122200
4302002200033131211120
5422314340013312241
611151411041450200
7503302153546500
oct62024017354530
913151707604580
103438662244696
111106368211818
12476529040960
131bc3590268c3
14bc609b18a00
155e6aa4774b6
hex320a03dd958

3438662244696 has 144 divisors (see below), whose sum is σ = 11470807778040. Its totient is φ = 924682268160.

The previous prime is 3438662244659. The next prime is 3438662244821. The reversal of 3438662244696 is 6964422668343.

3438662244696 is a `hidden beast` number, since 3 + 4 + 3 + 86 + 6 + 22 + 446 + 96 = 666.

It is a super-3 number, since 3×34386622446963 (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 28607010 + ... + 28726961.

Almost surely, 23438662244696 is an apocalyptic number.

3438662244696 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3438662244696 is an abundant number, since it is smaller than the sum of its proper divisors (8032145533344).

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

3438662244696 is a wasteful number, since it uses less digits than its factorization.

3438662244696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57334014 (or 57334000 counting only the distinct ones).

The product of its digits is 214990848, while the sum is 63.

The spelling of 3438662244696 in words is "three trillion, four hundred thirty-eight billion, six hundred sixty-two million, two hundred forty-four thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 17 18 21 24 28 34 36 42 49 51 56 63 68 72 84 98 102 119 126 136 147 153 168 196 204 238 252 294 306 357 392 408 441 476 504 588 612 714 833 882 952 1071 1176 1224 1428 1666 1764 2142 2499 2856 3332 3528 4284 4998 6664 7497 8568 9996 14994 19992 29988 59976 57333971 114667942 172001913 229335884 344003826 401337797 458671768 516005739 688007652 802675594 974677507 1032011478 1204013391 1376015304 1605351188 1949355014 2064022956 2408026782 2809364579 2924032521 3210702376 3612040173 3898710028 4128045912 4816053564 5618729158 5848065042 6822742549 7224080346 7797420056 8428093737 8772097563 9632107128 11237458316 11696130084 13645485098 14448160692 16856187474 17544195126 20468227647 22474916632 23392260168 25284281211 27290970196 28896321384 33712374948 35088390252 40936455294 47759197843 50568562422 54581940392 61404682941 67424749896 70176780504 81872910588 95518395686 101137124844 122809365882 143277593529 163745821176 191036791372 202274249688 245618731764 286555187058 382073582744 429832780587 491237463528 573110374116 859665561174 1146220748232 1719331122348 3438662244696