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242455554520320 = 283563139467323
BaseRepresentation
bin110111001000001100010101…
…001100110111010100000000
31011210110112011110121022220110
4313020030111030313110000
5223234342433424122240
62215354313305111320
7102032556443410101
oct6710142514672400
91153415143538813
10242455554520320
11702879067a5a09
1223239616788540
13a5395cb18b46b
1443c2ca904c3a8
151d06c5a9b5c80
hexdc8315337500

242455554520320 has 72 divisors (see below), whose sum is σ = 774342427261536. Its totient is φ = 64654814537728.

The previous prime is 242455554520253. The next prime is 242455554520331. The reversal of 242455554520320 is 23025455554242.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 242455554520320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31569729822 + ... + 31569737501.

It is an arithmetic number, because the mean of its divisors is an integer number (10754755934188).

Almost surely, 2242455554520320 is an apocalyptic number.

242455554520320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242455554520320 is an abundant number, since it is smaller than the sum of its proper divisors (531886872741216).

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

242455554520320 is an equidigital number, since it uses as much as digits as its factorization.

242455554520320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63139467347 (or 63139467333 counting only the distinct ones).

The product of its (nonzero) digits is 9600000, while the sum is 48.

The spelling of 242455554520320 in words is "two hundred forty-two trillion, four hundred fifty-five billion, five hundred fifty-four million, five hundred twenty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 960 1280 1920 3840 63139467323 126278934646 189418401969 252557869292 315697336615 378836803938 505115738584 631394673230 757673607876 947092009845 1010231477168 1262789346460 1515347215752 1894184019690 2020462954336 2525578692920 3030694431504 3788368039380 4040925908672 5051157385840 6061388863008 7576736078760 8081851817344 10102314771680 12122777726016 15153472157520 16163703634688 20204629543360 24245555452032 30306944315040 40409259086720 48491110904064 60613888630080 80818518173440 121227777260160 242455554520320