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21413412432 = 24321741213349
BaseRepresentation
bin10011111100010101…
…101011111001010000
32001021100010001121100
4103330111223321100
5322323313144212
613500455424400
71355434000566
oct237425537120
961240101540
1021413412432
119099349775
124197385100
132033471259
141071cc9a36
15854daebdc
hex4fc56be50

21413412432 has 120 divisors (see below), whose sum is σ = 65000917800. Its totient is φ = 6554050560.

The previous prime is 21413412421. The next prime is 21413412439. The reversal of 21413412432 is 23421431412.

21413412432 is a `hidden beast` number, since 2 + 1 + 413 + 4 + 1 + 243 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 250145856 + 21163266576 = 15816^2 + 145476^2 .

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 21413412396 and 21413412405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21413412439) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 6307 + ... + 207042.

It is an arithmetic number, because the mean of its divisors is an integer number (541674315).

Almost surely, 221413412432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21413412432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32500458900).

21413412432 is an abundant number, since it is smaller than the sum of its proper divisors (43587505368).

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

21413412432 is a wasteful number, since it uses less digits than its factorization.

21413412432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213421 (or 213412 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

Adding to 21413412432 its reverse (23421431412), we get a palindrome (44834843844).

The spelling of 21413412432 in words is "twenty-one billion, four hundred thirteen million, four hundred twelve thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 41 48 51 68 72 82 102 123 136 144 153 164 204 246 272 306 328 369 408 492 612 656 697 738 816 984 1224 1394 1476 1968 2091 2448 2788 2952 4182 5576 5904 6273 8364 11152 12546 16728 25092 33456 50184 100368 213349 426698 640047 853396 1280094 1706792 1920141 2560188 3413584 3626933 3840282 5120376 7253866 7680564 8747309 10240752 10880799 14507732 15361128 17494618 21761598 26241927 29015464 30722256 32642397 34989236 43523196 52483854 58030928 65284794 69978472 78725781 87046392 104967708 130569588 139956944 148704253 157451562 174092784 209935416 261139176 297408506 314903124 419870832 446112759 522278352 594817012 629806248 892225518 1189634024 1259612496 1338338277 1784451036 2379268048 2676676554 3568902072 5353353108 7137804144 10706706216 21413412432