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21314114333024 = 255919956729927
BaseRepresentation
bin1001101100010100101000…
…01101101010100101100000
32210110121110021102100212212
410312022110031222211200
510243202301232124044
6113155322520541252
74326615423401252
oct466122415524540
983417407370785
1021314114333024
1168782a0979567
122482999921828
13bb7bb25ab706
14539874161cd2
1526e667e75a9e
hex13629436a960

21314114333024 has 48 divisors (see below), whose sum is σ = 42887825568000. Its totient is φ = 10423783522944.

The previous prime is 21314114332963. The next prime is 21314114333053. The reversal of 21314114333024 is 42033341141312.

It is a super-2 number, since 2×213141143330242 (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27989252 + ... + 28740675.

It is an arithmetic number, because the mean of its divisors is an integer number (893496366000).

Almost surely, 221314114333024 is an apocalyptic number.

It is an amenable number.

21314114333024 is an abundant number, since it is smaller than the sum of its proper divisors (21573711234976).

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

21314114333024 is a wasteful number, since it uses less digits than its factorization.

21314114333024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56730195 (or 56730187 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

Adding to 21314114333024 its reverse (42033341141312), we get a palindrome (63347455474336).

The spelling of 21314114333024 in words is "twenty-one trillion, three hundred fourteen billion, one hundred fourteen million, three hundred thirty-three thousand, twenty-four".

Divisors: 1 2 4 8 16 32 59 118 199 236 398 472 796 944 1592 1888 3184 6368 11741 23482 46964 93928 187856 375712 56729927 113459854 226919708 453839416 907678832 1815357664 3347065693 6694131386 11289255473 13388262772 22578510946 26776525544 45157021892 53553051088 90314043784 107106102176 180628087568 361256175136 666066072907 1332132145814 2664264291628 5328528583256 10657057166512 21314114333024