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42234200243224 = 231114812699120067
BaseRepresentation
bin10011001101001011010101…
…00000001011110000011000
312112112112212000211220122221
421212211222200023300120
521013431120230240344
6225454042421153424
711616214565550523
oct1146455240136030
9175475760756587
1042234200243224
1112503472aa2a80
1248a133025b874
131a7488b7756c2
14a60209251bba
154d391d8c4184
hex26696a80bc18

42234200243224 has 64 divisors (see below), whose sum is σ = 86479217136000. Its totient is φ = 19177133625600.

The previous prime is 42234200243173. The next prime is 42234200243273.

42234200243224 is nontrivially palindromic in base 10.

42234200243224 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 42234200243224.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 351695239 + ... + 351815305.

It is an arithmetic number, because the mean of its divisors is an integer number (1351237767750).

Almost surely, 242234200243224 is an apocalyptic number.

42234200243224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42234200243224 is an abundant number, since it is smaller than the sum of its proper divisors (44245016892776).

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

42234200243224 is a wasteful number, since it uses less digits than its factorization.

42234200243224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124264 (or 124260 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 34.

It can be divided in two parts, 42234200 and 243224, that added together give a palindrome (42477424).

The spelling of 42234200243224 in words is "forty-two trillion, two hundred thirty-four billion, two hundred million, two hundred forty-three thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 22 44 88 1481 2699 2962 5398 5924 10796 11848 16291 21592 29689 32582 59378 65164 118756 120067 130328 237512 240134 480268 960536 1320737 2641474 3997219 5282948 7994438 10565896 15988876 31977752 43969409 87938818 175877636 177819227 324060833 351755272 355638454 648121666 711276908 1296243332 1422553816 1956011497 2592486664 3564669163 3912022994 7129338326 7824045988 14258676652 15648091976 28517353304 479934093673 959868187346 1919736374692 3839472749384 5279275030403 10558550060806 21117100121612 42234200243224