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40478844440832 = 283719133935989
BaseRepresentation
bin10010011010000101101110…
…01001001101000100000000
312022022201222021012222010120
421031002313021031010000
520301201133134101312
6222031420250300240
711345333333453130
oct1115026711150400
9168281867188116
1040478844440832
1111996a88450876
1246590a3127680
1319781a5806395
149dd287b74ac0
154a2e3342628c
hex24d0b724d100

40478844440832 has 144 divisors (see below), whose sum is σ = 123187544430720. Its totient is φ = 11559335510016.

The previous prime is 40478844440821. The next prime is 40478844440833. The reversal of 40478844440832 is 23804444887404.

It is not an unprimeable number, because it can be changed into a prime (40478844440833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8316294 + ... + 12252282.

Almost surely, 240478844440832 is an apocalyptic number.

40478844440832 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40478844440832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61593772215360).

40478844440832 is an abundant number, since it is smaller than the sum of its proper divisors (82708699989888).

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

40478844440832 is a wasteful number, since it uses less digits than its factorization.

40478844440832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3937928 (or 3937914 counting only the distinct ones).

The product of its (nonzero) digits is 88080384, while the sum is 60.

The spelling of 40478844440832 in words is "forty trillion, four hundred seventy-eight billion, eight hundred forty-four million, four hundred forty thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 672 768 896 1344 1792 1913 2688 3826 5376 5739 7652 11478 13391 15304 22956 26782 30608 40173 45912 53564 61216 80346 91824 107128 122432 160692 183648 214256 244864 321384 367296 428512 489728 642768 734592 857024 1285536 1469184 1714048 2571072 3428096 3935989 5142144 7871978 10284288 11807967 15743956 23615934 27551923 31487912 47231868 55103846 62975824 82655769 94463736 110207692 125951648 165311538 188927472 220415384 251903296 330623076 377854944 440830768 503806592 661246152 755709888 881661536 1007613184 1322492304 1511419776 1763323072 2644984608 3022839552 3526646144 5289969216 7053292288 7529546957 10579938432 15059093914 21159876864 22588640871 30118187828 45177281742 52706828699 60236375656 90354563484 105413657398 120472751312 158120486097 180709126968 210827314796 240945502624 316240972194 361418253936 421654629592 481891005248 632481944388 722836507872 843309259184 963782010496 1264963888776 1445673015744 1686618518368 1927564020992 2529927777552 2891346031488 3373237036736 5059855555104 5782692062976 6746474073472 10119711110208 13492948146944 20239422220416 40478844440832