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21443255234412 = 223115325583119809
BaseRepresentation
bin1001110000000101001011…
…00111000110111101101100
32210220221210022210212202120
410320002211213012331230
510302311241320000122
6113334521230352540
74342136566061034
oct470024547067554
983827708725676
1021443255234412
116918040612140
1224a3a1a95b750
13bc71234aa76b
14541c054ba8c4
15272bc568b75c
hex1380a59c6f6c

21443255234412 has 96 divisors (see below), whose sum is σ = 55615334261760. Its totient is φ = 6375050772480.

The previous prime is 21443255234411. The next prime is 21443255234417.

21443255234412 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (21443255234411) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 178918764 + ... + 179038572.

It is an arithmetic number, because the mean of its divisors is an integer number (579326398560).

Almost surely, 221443255234412 is an apocalyptic number.

21443255234412 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21443255234412 is an abundant number, since it is smaller than the sum of its proper divisors (34172079027348).

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

21443255234412 is a wasteful number, since it uses less digits than its factorization.

21443255234412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145463 (or 145461 counting only the distinct ones).

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

It can be divided in two parts, 2144325 and 5234412, that added together give a palindrome (7378737).

The spelling of 21443255234412 in words is "twenty-one trillion, four hundred forty-three billion, two hundred fifty-five million, two hundred thirty-four thousand, four hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 53 66 106 132 159 212 318 583 636 1166 1749 2332 3498 6996 25583 51166 76749 102332 119809 153498 239618 281413 306996 359427 479236 562826 718854 844239 1125652 1317899 1355899 1437708 1688478 2635798 2711798 3376956 3953697 4067697 5271596 5423596 6349877 7907394 8135394 12699754 14914889 15814788 16270788 19049631 25399508 29829778 38099262 44744667 59659556 69848647 76198524 89489334 139697294 178978668 209545941 279394588 419091882 838183764 3065073647 6130147294 9195220941 12260294588 18390441882 33715810117 36780883764 67431620234 101147430351 134863240468 162448903291 202294860702 324897806582 404589721404 487346709873 649795613164 974693419746 1786937936201 1949386839492 3573875872402 5360813808603 7147751744804 10721627617206 21443255234412