Search a number
-
+
4238997930684 = 223211173527178531
BaseRepresentation
bin111101101011110111111…
…101110100001010111100
3120000020121001110112020200
4331223313331310022330
51023422431432240214
613003211353043500
7615154214621046
oct75536775641274
916006531415220
104238997930684
111394826904350
125856679b6590
132499746b712a
141092508a2a96
15753ece76d09
hex3daf7f742bc

4238997930684 has 144 divisors (see below), whose sum is σ = 12380545771776. Its totient is φ = 1208633817600.

The previous prime is 4238997930577. The next prime is 4238997930689. The reversal of 4238997930684 is 4860397998324.

4238997930684 is a `hidden beast` number, since 4 + 238 + 9 + 9 + 7 + 9 + 306 + 84 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4238997930689) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23654499 + ... + 23833029.

It is an arithmetic number, because the mean of its divisors is an integer number (85976012304).

Almost surely, 24238997930684 is an apocalyptic number.

4238997930684 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4238997930684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6190272885888).

4238997930684 is an abundant number, since it is smaller than the sum of its proper divisors (8141547841092).

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

4238997930684 is a wasteful number, since it uses less digits than its factorization.

4238997930684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182096 (or 182091 counting only the distinct ones).

The product of its (nonzero) digits is 564350976, while the sum is 72.

The spelling of 4238997930684 in words is "four trillion, two hundred thirty-eight billion, nine hundred ninety-seven million, nine hundred thirty thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 33 34 36 44 51 66 68 99 102 132 153 187 198 204 306 374 396 561 612 748 1122 1683 2244 3366 3527 6732 7054 10581 14108 21162 31743 38797 42324 59959 63486 77594 116391 119918 126972 155188 178531 179877 232782 239836 349173 357062 359754 465564 535593 539631 659549 698346 714124 719508 1071186 1079262 1319098 1396692 1606779 1963841 1978647 2142372 2158524 2638196 3035027 3213558 3927682 3957294 5891523 5935941 6070054 6427116 7855364 7914588 9105081 11783046 11871882 12140108 17674569 18210162 23566092 23743764 27315243 33385297 35349138 36420324 54630486 66770594 70698276 100155891 109260972 133541188 200311782 300467673 400623564 600935346 629678837 1201870692 1259357674 1889036511 2518715348 3778073022 5667109533 6926467207 7556146044 10704540229 11334219066 13852934414 20779401621 21409080458 22668438132 27705868828 32113620687 41558803242 42818160916 62338204863 64227241374 83117606484 96340862061 117749942519 124676409726 128454482748 192681724122 235499885038 249352819452 353249827557 385363448244 470999770076 706499655114 1059749482671 1412999310228 2119498965342 4238997930684