Search a number
-
+
44351103126132 = 223311101369629489
BaseRepresentation
bin10100001010110010010111…
…01111110100101001110100
312211000220221122002112012000
422011121023233310221310
521303122024400014012
6234154340540455300
712225155452301235
oct1205311357645164
9184026848075160
1044351103126132
111314a219535a80
124b8365a84a530
131b993a266836a
14ad48679a108c
1551da199ccddc
hex28564bbf4a74

44351103126132 has 96 divisors (see below), whose sum is σ = 126679418812800. Its totient is φ = 13306661568000.

The previous prime is 44351103126131. The next prime is 44351103126139. The reversal of 44351103126132 is 23162130115344.

44351103126132 is a `hidden beast` number, since 4 + 4 + 3 + 5 + 1 + 1 + 0 + 31 + 2 + 613 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44351103126131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 184694757 + ... + 184934732.

It is an arithmetic number, because the mean of its divisors is an integer number (1319577279300).

Almost surely, 244351103126132 is an apocalyptic number.

It is an amenable number.

44351103126132 is an abundant number, since it is smaller than the sum of its proper divisors (82328315686668).

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

44351103126132 is a wasteful number, since it uses less digits than its factorization.

44351103126132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369629614 (or 369629606 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 44351103126132 in words is "forty-four trillion, three hundred fifty-one billion, one hundred three million, one hundred twenty-six thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 101 108 132 198 202 297 303 396 404 594 606 909 1111 1188 1212 1818 2222 2727 3333 3636 4444 5454 6666 9999 10908 13332 19998 29997 39996 59994 119988 369629489 739258978 1108888467 1478517956 2217776934 3326665401 4065924379 4435553868 6653330802 8131848758 9979996203 12197773137 13306661604 16263697516 19959992406 24395546274 36593319411 37332578389 39919984812 48791092548 73186638822 74665156778 109779958233 111997735167 146373277644 149330313556 219559916466 223995470334 335993205501 410658362279 439119832932 447990940668 671986411002 821316724558 1007979616503 1231975086837 1343972822004 1642633449116 2015959233006 2463950173674 3695925260511 4031918466012 4927900347348 7391850521022 11087775781533 14783701042044 22175551563066 44351103126132