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44971293420 = 22335192230693
BaseRepresentation
bin101001111000011111…
…110111101011101100
311022002010102102001000
4221320133313223230
51214100122342140
632354242520300
73151300454424
oct517037675354
9138063372030
1044971293420
11180881393a9
128870966090
134318c9cac1
142268919484
15128316ca30
hexa787f7aec

44971293420 has 144 divisors (see below), whose sum is σ = 147662615520. Its totient is φ = 11361119616.

The previous prime is 44971293413. The next prime is 44971293461. The reversal of 44971293420 is 2439217944.

44971293420 is a `hidden beast` number, since 4 + 497 + 129 + 34 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79594 + ... + 310286.

It is an arithmetic number, because the mean of its divisors is an integer number (1025434830).

Almost surely, 244971293420 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 44971293420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73831307760).

44971293420 is an abundant number, since it is smaller than the sum of its proper divisors (102691322100).

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

44971293420 is a wasteful number, since it uses less digits than its factorization.

44971293420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230749 (or 230722 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 44971293420 in words is "forty-four billion, nine hundred seventy-one million, two hundred ninety-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 27 30 36 38 45 54 57 60 76 90 95 108 114 135 171 180 190 228 270 285 342 361 380 513 540 570 684 722 855 1026 1083 1140 1444 1710 1805 2052 2166 2565 3249 3420 3610 4332 5130 5415 6498 7220 9747 10260 10830 12996 16245 19494 21660 32490 38988 48735 64980 97470 194940 230693 461386 692079 922772 1153465 1384158 2076237 2306930 2768316 3460395 4152474 4383167 4613860 6228711 6920790 8304948 8766334 10381185 12457422 13149501 13841580 17532668 20762370 21915835 24914844 26299002 31143555 39448503 41524740 43831670 52598004 62287110 65747505 78897006 83280173 87663340 118345509 124574220 131495010 157794012 166560346 197242515 236691018 249840519 262990020 333120692 394485030 416400865 473382036 499681038 591727545 749521557 788970060 832801730 999362076 1183455090 1249202595 1499043114 1665603460 2248564671 2366910180 2498405190 2998086228 3747607785 4497129342 4996810380 7495215570 8994258684 11242823355 14990431140 22485646710 44971293420