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421229818368 = 293431872
BaseRepresentation
bin1100010000100110100…
…00001111001000000000
31111021021020012212220000
412020103100033020000
523400134313141433
6521302120520000
742301316244132
oct6102320171000
91437236185800
10421229818368
11152708284137
1269779020000
133094ca4a848
141655d93b052
15ae555e0113
hex621340f200

421229818368 has 150 divisors (see below), whose sum is σ = 1257654713931. Its totient is φ = 140365882368.

The previous prime is 421229818349. The next prime is 421229818381. The reversal of 421229818368 is 863818922124.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

421229818368 is a `hidden beast` number, since 4 + 212 + 298 + 1 + 83 + 68 = 666.

It can be written as a sum of positive squares in only one way, i.e., 210614909184 + 210614909184 = 458928^2 + 458928^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=458928.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 132169671 + ... + 132172857.

Almost surely, 2421229818368 is an apocalyptic number.

421229818368 is a gapful number since it is divisible by the number (48) 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 421229818368

421229818368 is an abundant number, since it is smaller than the sum of its proper divisors (836424895563).

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

421229818368 is an frugal number, since it uses more digits than its factorization.

421229818368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6404 (or 3192 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 54.

The spelling of 421229818368 in words is "four hundred twenty-one billion, two hundred twenty-nine million, eight hundred eighteen thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1152 1296 1536 1728 2304 2592 3187 3456 4608 5184 6374 6912 9561 10368 12748 13824 19122 20736 25496 28683 38244 41472 50992 57366 76488 86049 101984 114732 152976 172098 203968 229464 258147 305952 344196 407936 458928 516294 611904 688392 815872 917856 1032588 1223808 1376784 1631744 1835712 2065176 2447616 2753568 3671424 4130352 4895232 5507136 7342848 8260704 10156969 11014272 14685696 16521408 20313938 22028544 30470907 33042816 40627876 44057088 60941814 66085632 81255752 91412721 121883628 132171264 162511504 182825442 243767256 274238163 325023008 365650884 487534512 548476326 650046016 731301768 822714489 975069024 1096952652 1300092032 1462603536 1645428978 1950138048 2193905304 2600184064 2925207072 3290857956 3900276096 4387810608 5200368128 5850414144 6581715912 7800552192 8775621216 11700828288 13163431824 15601104384 17551242432 23401656576 26326863648 35102484864 46803313152 52653727296 70204969728 105307454592 140409939456 210614909184 421229818368