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40445501820 = 22355916197057
BaseRepresentation
bin100101101010101111…
…010110000101111100
310212101201100101002220
4211222233112011330
51130313022024240
630325211245340
72631164043633
oct455257260574
9125351311086
1040445501820
1116175482169
127a09149850
133a774659c9
141d5981851a
1510bab875d0
hex96abd617c

40445501820 has 96 divisors (see below), whose sum is σ = 115254316800. Its totient is φ = 10594612224.

The previous prime is 40445501689. The next prime is 40445501843. The reversal of 40445501820 is 2810554404.

It is a happy number.

It is a congruent number.

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, 5727732 + ... + 5734788.

It is an arithmetic number, because the mean of its divisors is an integer number (1200565800).

Almost surely, 240445501820 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 40445501820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57627158400).

40445501820 is an abundant number, since it is smaller than the sum of its proper divisors (74808814980).

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

40445501820 is a wasteful number, since it uses less digits than its factorization.

40445501820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8747 (or 8745 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 33.

The spelling of 40445501820 in words is "forty billion, four hundred forty-five million, five hundred one thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 59 60 118 177 236 295 354 590 708 885 1180 1619 1770 3238 3540 4857 6476 7057 8095 9714 14114 16190 19428 21171 24285 28228 32380 35285 42342 48570 70570 84684 95521 97140 105855 141140 191042 211710 286563 382084 416363 423420 477605 573126 832726 955210 1146252 1249089 1432815 1665452 1910420 2081815 2498178 2865630 4163630 4996356 5731260 6245445 8327260 11425283 12490890 22850566 24981780 34275849 45701132 57126415 68551698 114252830 137103396 171379245 228505660 342758490 674091697 685516980 1348183394 2022275091 2696366788 3370458485 4044550182 6740916970 8089100364 10111375455 13481833940 20222750910 40445501820