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42144144242214 = 2376761724273253
BaseRepresentation
bin10011001010100011100101…
…01111110011011000100110
312112012221101212121001121010
421211101302233303120212
521010442201411222324
6225344430320403050
711606546116303650
oct1145216257633046
9175187355531533
1042144144242214
111247925a802563
124887998776486
131a69239176741
14a59b04b376d0
154d13ec684829
hex265472bf3626

42144144242214 has 64 divisors (see below), whose sum is σ = 97925685705216. Its totient is φ = 11842239999744.

The previous prime is 42144144242183. The next prime is 42144144242237. The reversal of 42144144242214 is 41224244144124.

It is a super-2 number, since 2×421441442422142 (a number of 28 digits) contains 22 as substring.

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, 10400389 + ... + 13872864.

It is an arithmetic number, because the mean of its divisors is an integer number (1530088839144).

Almost surely, 242144144242214 is an apocalyptic number.

42144144242214 is an abundant number, since it is smaller than the sum of its proper divisors (55781541463002).

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

42144144242214 is a wasteful number, since it uses less digits than its factorization.

42144144242214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24273949.

The product of its digits is 262144, while the sum is 39.

Adding to 42144144242214 its reverse (41224244144124), we get a palindrome (83368388386338).

The spelling of 42144144242214 in words is "forty-two trillion, one hundred forty-four billion, one hundred forty-four million, two hundred forty-two thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 14 21 42 67 134 201 402 469 617 938 1234 1407 1851 2814 3702 4319 8638 12957 25914 41339 82678 124017 248034 289373 578746 868119 1736238 24273253 48546506 72819759 145639518 169912771 339825542 509738313 1019476626 1626307951 3252615902 4878923853 9757847706 11384155657 14976597101 22768311314 29953194202 34152466971 44929791303 68304933942 89859582606 104836179707 209672359414 314508539121 629017078242 1003432005767 2006864011534 3010296017301 6020592034602 7024024040369 14048048080738 21072072121107 42144144242214