Search a number
-
+
42013312400124 = 223313241811237501
BaseRepresentation
bin10011000110101111111001…
…00011111011101011111100
312111202102200222101212011000
421203113330203323223330
521001321230433300444
6225204352124130300
711564235022063002
oct1143277443735374
9174672628355130
1042013312400124
111242882262412a
124866565396990
131a59ab8b50770
14a53652db4a72
154ccce17a9469
hex2635fc8fbafc

42013312400124 has 96 divisors (see below), whose sum is σ = 117307071586880. Its totient is φ = 12926628000000.

The previous prime is 42013312400123. The next prime is 42013312400159. The reversal of 42013312400124 is 42100421331024.

42013312400124 is a `hidden beast` number, since 4 + 2 + 0 + 133 + 1 + 2 + 400 + 124 = 666.

It is a super-2 number, since 2×420133124001242 (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42013312400123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33331374 + ... + 34568874.

Almost surely, 242013312400124 is an apocalyptic number.

It is an amenable number.

42013312400124 is an abundant number, since it is smaller than the sum of its proper divisors (75293759186756).

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

42013312400124 is a wasteful number, since it uses less digits than its factorization.

42013312400124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1261708 (or 1261700 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 42013312400124 its reverse (42100421331024), we get a palindrome (84113733731148).

The spelling of 42013312400124 in words is "forty-two trillion, thirteen billion, three hundred twelve million, four hundred thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 351 468 702 1404 24181 48362 72543 96724 145086 217629 290172 314353 435258 628706 652887 870516 943059 1237501 1257412 1305774 1886118 2475002 2611548 2829177 3712503 3772236 4950004 5658354 7425006 8487531 11137509 11316708 14850012 16087513 16975062 22275018 32175026 33412527 33950124 44550036 48262539 64350052 66825054 96525078 133650108 144787617 193050156 289575234 434362851 579150468 868725702 1737451404 29924011681 59848023362 89772035043 119696046724 179544070086 269316105129 359088140172 389012151853 538632210258 778024303706 807948315387 1077264420516 1167036455559 1556048607412 1615896630774 2334072911118 3231793261548 3501109366677 4668145822236 7002218733354 10503328100031 14004437466708 21006656200062 42013312400124