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21314045243544 = 23353122919936841
BaseRepresentation
bin1001101100010100100000…
…00110000111000010011000
32210110121021110102020221020
410312022100012013002120
510243202131040243134
6113155312012042440
74326613624216224
oct466122006070230
983417243366836
1021314045243544
11687826597a619
12248297a763420
13bb7ba119b471
14539868cd9784
1526e661d79b49
hex136290187098

21314045243544 has 128 divisors (see below), whose sum is σ = 54369876369600. Its totient is φ = 6960447037440.

The previous prime is 21314045243531. The next prime is 21314045243567. The reversal of 21314045243544 is 44534254041312.

21314045243544 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×213140452435442 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21314045243496 and 21314045243505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3115629564 + ... + 3115636404.

Almost surely, 221314045243544 is an apocalyptic number.

21314045243544 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21314045243544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27184938184800).

21314045243544 is an abundant number, since it is smaller than the sum of its proper divisors (33055831126056).

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

21314045243544 is a wasteful number, since it uses less digits than its factorization.

21314045243544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10125 (or 10121 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 42.

Adding to 21314045243544 its reverse (44534254041312), we get a palindrome (65848299284856).

The spelling of 21314045243544 in words is "twenty-one trillion, three hundred fourteen billion, forty-five million, two hundred forty-three thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 53 106 159 212 318 424 636 1229 1272 1993 2458 3687 3986 4916 5979 6841 7374 7972 9832 11958 13682 14748 15944 20523 23916 27364 29496 41046 47832 54728 65137 82092 105629 130274 164184 195411 211258 260548 316887 362573 390822 422516 521096 633774 725146 781644 845032 1087719 1267548 1450292 1563288 2175438 2449397 2535096 2900584 4350876 4898794 7348191 8407589 8701752 9797588 13634113 14696382 16815178 19595176 25222767 27268226 29392764 33630356 40902339 50445534 54536452 58785528 67260712 81804678 100891068 109072904 129818041 163609356 201782136 259636082 327218712 389454123 445602217 519272164 722607989 778908246 891204434 1038544328 1336806651 1445215978 1557816492 1782408868 2167823967 2673613302 2890431956 3115632984 3564817736 4335647934 5347226604 5780863912 8671295868 10694453208 16756324877 17342591736 33512649754 50268974631 67025299508 100537949262 134050599016 201075898524 402151797048 888085218481 1776170436962 2664255655443 3552340873924 5328511310886 7104681747848 10657022621772 21314045243544