Search a number
-
+
234490757274540 = 223351333403241777
BaseRepresentation
bin110101010100010010100010…
…010010100101101110101100
31010202021002122001102010111000
4311110102202102211232230
5221213344032330241130
62150415322230200300
7100251253364022204
oct6524224222455654
91122232561363430
10234490757274540
1168796a76357a88
1222371a681b3090
13a0ac4ca7caab0
1441c95adbb7404
151c199992d1260
hexd544a24a5bac

234490757274540 has 96 divisors (see below), whose sum is σ = 785644246618560. Its totient is φ = 57720801788928.

The previous prime is 234490757274503. The next prime is 234490757274671. The reversal of 234490757274540 is 45472757094432.

234490757274540 is a `hidden beast` number, since 2 + 3 + 4 + 4 + 9 + 0 + 7 + 572 + 7 + 4 + 54 + 0 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16701613869 + ... + 16701627908.

It is an arithmetic number, because the mean of its divisors is an integer number (8183794235610).

Almost surely, 2234490757274540 is an apocalyptic number.

234490757274540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

234490757274540 is an abundant number, since it is smaller than the sum of its proper divisors (551153489344020).

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

234490757274540 is a wasteful number, since it uses less digits than its factorization.

234490757274540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33403241808 (or 33403241800 counting only the distinct ones).

The product of its (nonzero) digits is 237081600, while the sum is 63.

The spelling of 234490757274540 in words is "two hundred thirty-four trillion, four hundred ninety billion, seven hundred fifty-seven million, two hundred seventy-four thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 90 108 117 130 135 156 180 195 234 260 270 351 390 468 540 585 702 780 1170 1404 1755 2340 3510 7020 33403241777 66806483554 100209725331 133612967108 167016208885 200419450662 300629175993 334032417770 400838901324 434242143101 501048626655 601258351986 668064835540 868484286202 901887527979 1002097253310 1202516703972 1302726429303 1503145879965 1736968572404 1803775055958 2004194506620 2171210715505 2605452858606 3006291759930 3607550111916 3908179287909 4342421431010 4509437639895 5210905717212 6012583519860 6513632146515 7816358575818 8684842862020 9018875279790 11724537863727 13027264293030 15632717151636 18037750559580 19540896439545 23449075727454 26054528586060 39081792879090 46898151454908 58622689318635 78163585758180 117245378637270 234490757274540