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21340310433312 = 2531331551600249
BaseRepresentation
bin1001101101000101011011…
…00111110110111000100000
32210120010001221000010211110
410312202231213312320200
510244114423432331222
6113215334150143320
74331533533516423
oct466425547667040
983503057003743
1021340310433312
116888413998422
122487a8a951b40
13bba4c8872380
1453ac3b3019ba
1527019cb6330c
hex1368ad9f6e20

21340310433312 has 96 divisors (see below), whose sum is σ = 62273461824000. Its totient is φ = 6354434856960.

The previous prime is 21340310433287. The next prime is 21340310433317. The reversal of 21340310433312 is 21333401304312.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 21340310433312.

It is not an unprimeable number, because it can be changed into a prime (21340310433317) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 275761437 + ... + 275838812.

It is an arithmetic number, because the mean of its divisors is an integer number (648681894000).

Almost surely, 221340310433312 is an apocalyptic number.

It is an amenable number.

21340310433312 is an abundant number, since it is smaller than the sum of its proper divisors (40933151390688).

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

21340310433312 is a wasteful number, since it uses less digits than its factorization.

21340310433312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551600306 (or 551600298 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

Adding to 21340310433312 its reverse (21333401304312), we get a palindrome (42673711737624).

The spelling of 21340310433312 in words is "twenty-one trillion, three hundred forty billion, three hundred ten million, four hundred thirty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 32 39 48 52 62 78 93 96 104 124 156 186 208 248 312 372 403 416 496 624 744 806 992 1209 1248 1488 1612 2418 2976 3224 4836 6448 9672 12896 19344 38688 551600249 1103200498 1654800747 2206400996 3309601494 4412801992 6619202988 7170803237 8825603984 13238405976 14341606474 17099607719 17651207968 21512409711 26476811952 28683212948 34199215438 43024819422 51298823157 52953623904 57366425896 68398430876 86049638844 102597646314 114732851792 136796861752 172099277688 205195292628 222294900347 229465703584 273593723504 344198555376 410390585256 444589800694 547187447008 666884701041 688397110752 820781170512 889179601388 1333769402082 1641562341024 1778359202776 2667538804164 3556718405552 5335077608328 7113436811104 10670155216656 21340310433312