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21140342442 = 2387122691
BaseRepresentation
bin10011101100000100…
…000000011010101010
32000120022021200000000
4103230010000122222
5321243411424232
613413422523430
71345606642302
oct235404003252
960508250000
1021140342442
118a6919919a
12411ba36576
131cbba11c8b
141047926602
1583ae2027c
hex4ec1006aa

21140342442 has 72 divisors (see below), whose sum is σ = 48235385952. Its totient is φ = 6947224200.

The previous prime is 21140342441. The next prime is 21140342479. The reversal of 21140342442 is 24424304112.

21140342442 is a `hidden beast` number, since 2 + 11 + 403 + 4 + 244 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (21140342441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 920317 + ... + 943007.

It is an arithmetic number, because the mean of its divisors is an integer number (669935916).

Almost surely, 221140342442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21140342442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24117692976).

21140342442 is an abundant number, since it is smaller than the sum of its proper divisors (27095043510).

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

21140342442 is an frugal number, since it uses more digits than its factorization.

21140342442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22788 (or 22767 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 21140342442 its reverse (24424304112), we get a palindrome (45564646554).

It can be divided in two parts, 211 and 40342442, that added together give a triangular number (40342653 = T8982).

The spelling of 21140342442 in words is "twenty-one billion, one hundred forty million, three hundred forty-two thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 71 81 142 162 213 243 426 486 639 729 1278 1458 1917 2187 3834 4374 5751 6561 11502 13122 17253 22691 34506 45382 51759 68073 103518 136146 155277 204219 310554 408438 465831 612657 931662 1225314 1611061 1837971 3222122 3675942 4833183 5513913 9666366 11027826 14499549 16541739 28999098 33083478 43498647 49625217 86997294 99250434 130495941 148875651 260991882 297751302 391487823 782975646 1174463469 2348926938 3523390407 7046780814 10570171221 21140342442