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42843131400 = 23352174200307
BaseRepresentation
bin100111111001101001…
…100100111000001000
311002120210220120120110
4213321221210320020
51200220320201100
631403140554320
73044456415426
oct477151447010
9132523816513
1042843131400
1117195915813
1283780b29a0
13406a101734
14210601c116
1511ab3e1250
hex9f9a64e08

42843131400 has 96 divisors (see below), whose sum is σ = 140626311840. Its totient is φ = 10752783360.

The previous prime is 42843131347. The next prime is 42843131423. The reversal of 42843131400 is 413134824.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2089954 + ... + 2110353.

It is an arithmetic number, because the mean of its divisors is an integer number (1464857415).

Almost surely, 242843131400 is an apocalyptic number.

42843131400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42843131400 is an abundant number, since it is smaller than the sum of its proper divisors (97783180440).

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

42843131400 is a wasteful number, since it uses less digits than its factorization.

42843131400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4200343 (or 4200334 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The spelling of 42843131400 in words is "forty-two billion, eight hundred forty-three million, one hundred thirty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 25 30 34 40 50 51 60 68 75 85 100 102 120 136 150 170 200 204 255 300 340 408 425 510 600 680 850 1020 1275 1700 2040 2550 3400 5100 10200 4200307 8400614 12600921 16801228 21001535 25201842 33602456 42003070 50403684 63004605 71405219 84006140 100807368 105007675 126009210 142810438 168012280 210015350 214215657 252018420 285620876 315023025 357026095 420030700 428431314 504036840 571241752 630046050 714052190 840061400 856862628 1071078285 1260092100 1428104380 1713725256 1785130475 2142156570 2520184200 2856208760 3570260950 4284313140 5355391425 7140521900 8568626280 10710782850 14281043800 21421565700 42843131400