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21414104544 = 253731866227
BaseRepresentation
bin10011111100011000…
…010100110111100000
32001021101102020000010
4103330120110313200
5322324002321134
613500522324520
71355442612450
oct237430246740
961241366003
1021414104544
119099781768
124197659740
1320336542a1
141072029d60
15854e99ce9
hex4fc614de0

21414104544 has 48 divisors (see below), whose sum is σ = 64242315648. Its totient is φ = 6118315392.

The previous prime is 21414104539. The next prime is 21414104549. The reversal of 21414104544 is 44540141412.

It is an interprime number because it is at equal distance from previous prime (21414104539) and next prime (21414104549).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×214141045442 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21414104549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15932442 + ... + 15933785.

It is an arithmetic number, because the mean of its divisors is an integer number (1338381576).

Almost surely, 221414104544 is an apocalyptic number.

21414104544 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21414104544 is an abundant number, since it is smaller than the sum of its proper divisors (42828211104).

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

21414104544 is a wasteful number, since it uses less digits than its factorization.

21414104544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31866247 (or 31866239 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 30.

Adding to 21414104544 its reverse (44540141412), we get a palindrome (65954245956).

The spelling of 21414104544 in words is "twenty-one billion, four hundred fourteen million, one hundred four thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 31866227 63732454 95598681 127464908 191197362 223063589 254929816 382394724 446127178 509859632 669190767 764789448 892254356 1019719264 1338381534 1529578896 1784508712 2676763068 3059157792 3569017424 5353526136 7138034848 10707052272 21414104544