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21444144131412 = 223237910311524433
BaseRepresentation
bin1001110000000110110101…
…00101111110110101010100
32210221001002021102112012200
410320003122211332311110
510302320101344201122
6113335145342444500
74342200611424342
oct470033245766524
983831067375180
1021444144131412
116918457350662
1224a4028593730
13bc72356b7512
14541c8b586992
15272c287235ac
hex1380da97ed54

21444144131412 has 72 divisors (see below), whose sum is σ = 54401805407040. Its totient is φ = 7122268258560.

The previous prime is 21444144131411. The next prime is 21444144131429. The reversal of 21444144131412 is 21413144144412.

21444144131412 is a `hidden beast` number, since 2 + 1 + 4 + 441 + 44 + 131 + 41 + 2 = 666.

It is a super-2 number, since 2×214441441314122 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21444144131411) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 13304748 + ... + 14829180.

Almost surely, 221444144131412 is an apocalyptic number.

It is an amenable number.

21444144131412 is an abundant number, since it is smaller than the sum of its proper divisors (32957661275628).

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

21444144131412 is a wasteful number, since it uses less digits than its factorization.

21444144131412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1525853 (or 1525848 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

Adding to 21444144131412 its reverse (21413144144412), we get a palindrome (42857288275824).

The spelling of 21444144131412 in words is "twenty-one trillion, four hundred forty-four billion, one hundred forty-four million, one hundred thirty-one thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 379 758 1031 1137 1516 2062 2274 3093 3411 4124 4548 6186 6822 9279 12372 13644 18558 37116 390749 781498 1172247 1524433 1562996 2344494 3048866 3516741 4573299 4688988 6097732 7033482 9146598 13719897 14066964 18293196 27439794 54879588 577760107 1155520214 1571690423 1733280321 2311040428 3143380846 3466560642 4715071269 5199840963 6286761692 6933121284 9430142538 10399681926 14145213807 18860285076 20799363852 28290427614 56580855228 595670670317 1191341340634 1787012010951 2382682681268 3574024021902 5361036032853 7148048043804 10722072065706 21444144131412