Search a number
-
+
42924371839488 = 293237251761753
BaseRepresentation
bin10011100001010000110111…
…11011111000101000000000
312121222112022021110200002200
421300220123323320220000
521111233103142330423
6231143103441513200
712020116643406666
oct1160503373705000
9177875267420080
1042924371839488
111274a13a95a457
124993045342800
131ac499b945c19
14a8579d100c36
154e6864bb6d43
hex270a1bef8a00

42924371839488 has 120 divisors (see below), whose sum is σ = 127230823524948. Its totient is φ = 13921417838592.

The previous prime is 42924371839483. The next prime is 42924371839493. The reversal of 42924371839488 is 88493817342924.

It is a happy number.

42924371839488 is a `hidden beast` number, since 4 + 2 + 9 + 2 + 43 + 71 + 8 + 39 + 488 = 666.

It is an interprime number because it is at equal distance from previous prime (42924371839483) and next prime (42924371839493).

It can be written as a sum of positive squares in 2 ways, for example, as 28443363565824 + 14481008273664 = 5333232^2 + 3805392^2 .

It is a super-2 number, since 2×429243718394882 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (42924371839483) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 125710381 + ... + 126051372.

Almost surely, 242924371839488 is an apocalyptic number.

42924371839488 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

42924371839488 is an abundant number, since it is smaller than the sum of its proper divisors (84306451685460).

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

42924371839488 is a wasteful number, since it uses less digits than its factorization.

42924371839488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251761814 (or 251761795 counting only the distinct ones).

The product of its digits is 668860416, while the sum is 72.

The spelling of 42924371839488 in words is "forty-two trillion, nine hundred twenty-four billion, three hundred seventy-one million, eight hundred thirty-nine thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 64 72 74 96 111 128 144 148 192 222 256 288 296 333 384 444 512 576 592 666 768 888 1152 1184 1332 1536 1776 2304 2368 2664 3552 4608 4736 5328 7104 9472 10656 14208 18944 21312 28416 42624 56832 85248 170496 251761753 503523506 755285259 1007047012 1510570518 2014094024 2265855777 3021141036 4028188048 4531711554 6042282072 8056376096 9063423108 9315184861 12084564144 16112752192 18126846216 18630369722 24169128288 27945554583 32225504384 36253692432 37260739444 48338256576 55891109166 64451008768 72507384864 74521478888 83836663749 96676513152 111782218332 128902017536 145014769728 149042957776 167673327498 193353026304 223564436664 290029539456 298085915552 335346654996 386706052608 447128873328 580059078912 596171831104 670693309992 894257746656 1160118157824 1192343662208 1341386619984 1788515493312 2384687324416 2682773239968 3577030986624 4769374648832 5365546479936 7154061973248 10731092959872 14308123946496 21462185919744 42924371839488