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21054340344 = 23319293834157
BaseRepresentation
bin10011100110111011…
…111011110011111000
32000100022110022022010
4103212323323303320
5321104402342334
613401111325520
71343513640312
oct234673736370
960308408263
1021054340344
118a24698584
1240b70808a0
131ca6c5c96b
14103a33a7b2
158335d30e9
hex4e6efbcf8

21054340344 has 128 divisors (see below), whose sum is σ = 57480192000. Its totient is φ = 6401170944.

The previous prime is 21054340337. The next prime is 21054340357. The reversal of 21054340344 is 44304345012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5062714 + ... + 5066870.

It is an arithmetic number, because the mean of its divisors is an integer number (449064000).

Almost surely, 221054340344 is an apocalyptic number.

21054340344 is a gapful number since it is divisible by the number (24) 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 21054340344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28740096000).

21054340344 is an abundant number, since it is smaller than the sum of its proper divisors (36425851656).

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

21054340344 is a wasteful number, since it uses less digits than its factorization.

21054340344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4597 (or 4593 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 21054340344 its reverse (44304345012), we get a palindrome (65358685356).

The spelling of 21054340344 in words is "twenty-one billion, fifty-four million, three hundred forty thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 19 24 29 38 57 58 76 87 114 116 152 174 228 232 348 383 456 551 696 766 1102 1149 1532 1653 2204 2298 3064 3306 4157 4408 4596 6612 7277 8314 9192 11107 12471 13224 14554 16628 21831 22214 24942 29108 33256 33321 43662 44428 49884 58216 66642 78983 87324 88856 99768 120553 133284 157966 174648 211033 236949 241106 266568 315932 361659 422066 473898 482212 631864 633099 723318 844132 947796 964424 1266198 1446636 1592131 1688264 1895592 2290507 2532396 2893272 3184262 4581014 4776393 5064792 6368524 6871521 9162028 9552786 12737048 13743042 18324056 19105572 27486084 30250489 38211144 46171799 54972168 60500978 90751467 92343598 121001956 138515397 181502934 184687196 242003912 277030794 363005868 369374392 554061588 726011736 877264181 1108123176 1754528362 2631792543 3509056724 5263585086 7018113448 10527170172 21054340344