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42232341044430 = 232517912792049647
BaseRepresentation
bin10011001101000111110111…
…01011111001110011001110
312112112101001110102211101100
421212203323223321303032
521013413313301410210
6225453134124123530
711616120531614055
oct1146437353716316
9175471043384340
1042232341044430
11125026a9585449
1248a0ab16965a6
131a74653529284
14a600b036939c
154d38605755c0
hex2668fbaf9cce

42232341044430 has 96 divisors (see below), whose sum is σ = 110503902412800. Its totient is φ = 11190280095936.

The previous prime is 42232341044389. The next prime is 42232341044473. The reversal of 42232341044430 is 3444014323224.

42232341044430 is a `hidden beast` number, since 4 + 2 + 232 + 3 + 410 + 4 + 4 + 4 + 3 + 0 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19579867 + ... + 21629513.

It is an arithmetic number, because the mean of its divisors is an integer number (1151082316800).

Almost surely, 242232341044430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42232341044430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55251951206400).

42232341044430 is an abundant number, since it is smaller than the sum of its proper divisors (68271561368370).

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

42232341044430 is a wasteful number, since it uses less digits than its factorization.

42232341044430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2051118 (or 2051115 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 42232341044430 its reverse (3444014323224), we get a palindrome (45676355367654).

The spelling of 42232341044430 in words is "forty-two trillion, two hundred thirty-two billion, three hundred forty-one million, forty-four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 179 358 537 895 1074 1279 1611 1790 2558 2685 3222 3837 5370 6395 7674 8055 11511 12790 16110 19185 23022 38370 57555 115110 228941 457882 686823 1144705 1373646 2049647 2060469 2289410 3434115 4099294 4120938 6148941 6868230 10248235 10302345 12297882 18446823 20496470 20604690 30744705 36893646 61489410 92234115 184468230 366886813 733773626 1100660439 1834434065 2201320878 2621498513 3301981317 3668868130 5242997026 5503302195 6603962634 7864495539 11006604390 13107492565 15728991078 16509906585 23593486617 26214985130 33019813170 39322477695 47186973234 78644955390 117967433085 235934866170 469248233827 938496467654 1407744701481 2346241169135 2815489402962 4223234104443 4692482338270 7038723507405 8446468208886 14077447014810 21116170522215 42232341044430