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40931047680 = 283526340529
BaseRepresentation
bin100110000111101011…
…100011100100000000
310220122112222122210220
4212013223203210000
51132311322011210
630445314223040
72646211110345
oct460753434400
9126575878726
1040931047680
11163a4566a36
127b23884a80
133b23c29a53
141da40ca7cc
1510e85e7c70
hex987ae3900

40931047680 has 144 divisors (see below), whose sum is σ = 131223818880. Its totient is φ = 10873176064.

The previous prime is 40931047669. The next prime is 40931047697. The reversal of 40931047680 is 8674013904.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 989656 + ... + 1030184.

It is an arithmetic number, because the mean of its divisors is an integer number (911276520).

Almost surely, 240931047680 is an apocalyptic number.

40931047680 is a gapful number since it is divisible by the number (40) 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 40931047680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65611909440).

40931047680 is an abundant number, since it is smaller than the sum of its proper divisors (90292771200).

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

40931047680 is a wasteful number, since it uses less digits than its factorization.

40931047680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40816 (or 40802 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 40931047680 in words is "forty billion, nine hundred thirty-one million, forty-seven thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 263 320 384 480 526 640 768 789 960 1052 1280 1315 1578 1920 2104 2630 3156 3840 3945 4208 5260 6312 7890 8416 10520 12624 15780 16832 21040 25248 31560 33664 40529 42080 50496 63120 67328 81058 84160 100992 121587 126240 162116 168320 201984 202645 243174 252480 324232 336640 405290 486348 504960 607935 648464 810580 972696 1009920 1215870 1296928 1621160 1945392 2431740 2593856 3242320 3890784 4863480 5187712 6484640 7781568 9726960 10375424 10659127 12969280 15563136 19453920 21318254 25938560 31126272 31977381 38907840 42636508 51877120 53295635 63954762 77815680 85273016 106591270 127909524 155631360 159886905 170546032 213182540 255819048 319773810 341092064 426365080 511638096 639547620 682184128 852730160 1023276192 1279095240 1364368256 1705460320 2046552384 2558190480 2728736512 3410920640 4093104768 5116380960 6821841280 8186209536 10232761920 13643682560 20465523840 40931047680