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413861371392 = 2937109135281
BaseRepresentation
bin1100000010111000000…
…11110101111000000000
31110120020201011222212110
412001130003311320000
523240042002341032
6514043021255320
741620604420340
oct6013403657000
91416221158773
10413861371392
1114a576a55937
1268261404540
1330047300151
14160610b0d20
15ab737967cc
hex605c0f5e00

413861371392 has 160 divisors (see below), whose sum is σ = 1261250774784. Its totient is φ = 118134374400.

The previous prime is 413861371381. The next prime is 413861371403. The reversal of 413861371392 is 293173168314.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (413861371381) and next prime (413861371403).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 11712792 + ... + 11748072.

Almost surely, 2413861371392 is an apocalyptic number.

413861371392 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 413861371392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630625387392).

413861371392 is an abundant number, since it is smaller than the sum of its proper divisors (847389403392).

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

413861371392 is a wasteful number, since it uses less digits than its factorization.

413861371392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36400 (or 36384 counting only the distinct ones).

The product of its digits is 653184, while the sum is 48.

The spelling of 413861371392 in words is "four hundred thirteen billion, eight hundred sixty-one million, three hundred seventy-one thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1091 1344 1536 1792 2182 2688 3273 3584 4364 5376 6546 7637 8728 10752 13092 15274 17456 22911 26184 30548 34912 35281 45822 52368 61096 69824 70562 91644 104736 105843 122192 139648 141124 183288 209472 211686 244384 246967 279296 282248 366576 418944 423372 488768 493934 558592 564496 733152 740901 837888 846744 977536 987868 1128992 1466304 1481802 1675776 1693488 1955072 1975736 2257984 2932608 2963604 3386976 3910144 3951472 4515968 5865216 5927208 6773952 7902944 9031936 11730432 11854416 13547904 15805888 18063872 23708832 27095808 31611776 38491571 47417664 54191616 63223552 76983142 94835328 115474713 126447104 153966284 189670656 230949426 269440997 307932568 379341312 461898852 538881994 615865136 808322991 923797704 1077763988 1231730272 1616645982 1847595408 2155527976 2463460544 3233291964 3695190816 4311055952 4926921088 6466583928 7390381632 8622111904 9853842176 12933167856 14780763264 17244223808 19707684352 25866335712 29561526528 34488447616 51732671424 59123053056 68976895232 103465342848 137953790464 206930685696 413861371392