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412401150021344 = 25112659615171633
BaseRepresentation
bin101110111000100111010000…
…0000011010100111011100000
32000002012011110012212201122012
41131301032200003110323200
5413023240023401140334
64021034250050132052
7152602666642605641
oct13561164003247340
92002164405781565
10412401150021344
1110a449388a02960
123a306132881028
13149163528c1673
1473ba4720296c8
1532a27788ae9ce
hex17713a00d4ee0

412401150021344 has 96 divisors (see below), whose sum is σ = 886214724353280. Its totient is φ = 187351490304000.

The previous prime is 412401150021337. The next prime is 412401150021401. The reversal of 412401150021344 is 443120051104214.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 412401150021344.

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, 5757103352 + ... + 5757174984.

It is an arithmetic number, because the mean of its divisors is an integer number (9231403378680).

Almost surely, 2412401150021344 is an apocalyptic number.

412401150021344 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

412401150021344 is an abundant number, since it is smaller than the sum of its proper divisors (473813574331936).

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

412401150021344 is a wasteful number, since it uses less digits than its factorization.

412401150021344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80464 (or 80456 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

The spelling of 412401150021344 in words is "four hundred twelve trillion, four hundred one billion, one hundred fifty million, twenty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 2659 5318 6151 10636 12302 21272 24604 29249 42544 49208 58498 67661 71633 85088 98416 116996 135322 143266 196832 233992 270644 286532 467984 541288 573064 787963 935968 1082576 1146128 1575926 2165152 2292256 3151852 6303704 12607408 16355509 25214816 32711018 65422036 130844072 179910599 190472147 261688144 359821198 380944294 440614583 523376288 719642396 761888588 881229166 1439284792 1523777176 1762458332 2095193617 2878569584 3047554352 3524916664 4190387234 4846760413 5757139168 6095108704 7049833328 8380774468 9693520826 14099666656 16761548936 19387041652 33523097872 38774083304 67046195744 77548166608 155096333216 1171594176197 2343188352394 4686376704788 9372753409576 12887535938167 18745506819152 25775071876334 37491013638304 51550143752668 103100287505336 206200575010672 412401150021344