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500020401040 = 2451011933111031
BaseRepresentation
bin1110100011010111000…
…10011101001110010000
31202210122021121012012121
413101223202131032100
531143020210313130
61021412312304024
751060654165526
oct7215342351620
91683567535177
10500020401040
1118306a532066
1280aa79a2014
13381c84418b4
141a2b5c14316
15d017812d7a
hex746b89d390

500020401040 has 160 divisors (see below), whose sum is σ = 1185084006912. Its totient is φ = 196177920000.

The previous prime is 500020400993. The next prime is 500020401079. The reversal of 500020401040 is 40104020005.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 484985325 + ... + 484986355.

Almost surely, 2500020401040 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 500020401040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592542003456).

500020401040 is an abundant number, since it is smaller than the sum of its proper divisors (685063605872).

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

500020401040 is a wasteful number, since it uses less digits than its factorization.

500020401040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1649 (or 1643 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

Adding to 500020401040 its reverse (40104020005), we get a palindrome (540124421045).

The spelling of 500020401040 in words is "five hundred billion, twenty million, four hundred one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 101 193 202 311 386 404 505 622 772 808 965 1010 1031 1244 1544 1555 1616 1930 2020 2062 2488 3088 3110 3860 4040 4124 4976 5155 6220 7720 8080 8248 10310 12440 15440 16496 19493 20620 24880 31411 38986 41240 60023 62822 77972 82480 97465 104131 120046 125644 155944 157055 194930 198983 208262 240092 251288 300115 311888 314110 320641 389860 397966 416524 480184 502576 520655 600230 628220 641282 779720 795932 833048 960368 994915 1041310 1200460 1256440 1282564 1559440 1591864 1603205 1666096 1989830 2082620 2400920 2512880 2565128 3183728 3206410 3979660 4165240 4801840 5130256 6062323 6412820 7959320 8330480 12124646 12825640 15918640 20097283 24249292 25651280 30311615 32384741 40194566 48498584 60623230 61883713 64769482 80389132 96997168 100486415 121246460 123767426 129538964 160778264 161923705 200972830 242492920 247534852 259077928 309418565 321556528 323847410 401945660 484985840 495069704 518155856 618837130 647694820 803891320 990139408 1237674260 1295389640 1607782640 2475348520 2590779280 4950697040 6250255013 12500510026 25001020052 31251275065 50002040104 62502550130 100004080208 125005100260 250010200520 500020401040