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21414000504 = 23313471460311
BaseRepresentation
bin10011111100010111…
…111011011101111000
32001021101012221021210
4103330113323131320
5322323441004004
613500520203120
71355442000231
oct237427733570
961241187253
1021414000504
119099710586
1241976094a0
132033618b20
141072000088
15854e79089
hex4fc5fb778

21414000504 has 64 divisors (see below), whose sum is σ = 58879779840. Its totient is φ = 6448728960.

The previous prime is 21414000469. The next prime is 21414000533. The reversal of 21414000504 is 40500041412.

It is a happy number.

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 15 ways as a sum of consecutive naturals, for example, 715492 + ... + 744819.

It is an arithmetic number, because the mean of its divisors is an integer number (919996560).

Almost surely, 221414000504 is an apocalyptic number.

21414000504 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21414000504 is an abundant number, since it is smaller than the sum of its proper divisors (37465779336).

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

21414000504 is a wasteful number, since it uses less digits than its factorization.

21414000504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1460380 (or 1460376 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

Adding to 21414000504 its reverse (40500041412), we get a palindrome (61914041916).

The spelling of 21414000504 in words is "twenty-one billion, four hundred fourteen million, five hundred four", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 13 24 26 39 47 52 78 94 104 141 156 188 282 312 376 564 611 1128 1222 1833 2444 3666 4888 7332 14664 1460311 2920622 4380933 5841244 8761866 11682488 17523732 18984043 35047464 37968086 56952129 68634617 75936172 113904258 137269234 151872344 205903851 227808516 274538468 411807702 455617032 549076936 823615404 892250021 1647230808 1784500042 2676750063 3569000084 5353500126 7138000168 10707000252 21414000504