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245343242544000 = 273535111317553
BaseRepresentation
bin110111110010001101101100…
…110100011110001110000000
31012011200120210102002001200220
4313302031230310132032000
5224124200430042402000
62225445044001143040
7102451315156542036
oct6762155464361600
91164616712061626
10245343242544000
11711a0537370547
12236251b762aa80
13a6b89cb515033
144482967a96556
151d56e1a1771a0
hexdf236cd1e380

245343242544000 has 128 divisors (see below), whose sum is σ = 813312849192480. Its totient is φ = 65424864665600.

The previous prime is 245343242543957. The next prime is 245343242544013. The reversal of 245343242544000 is 445242343542.

245343242544000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2555610777 + ... + 2555706776.

Almost surely, 2245343242544000 is an apocalyptic number.

245343242544000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

245343242544000 is an abundant number, since it is smaller than the sum of its proper divisors (567969606648480).

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

245343242544000 is an equidigital number, since it uses as much as digits as its factorization.

245343242544000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5111317585 (or 5111317563 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 42.

Adding to 245343242544000 its reverse (445242343542), we get a palindrome (245788484887542).

The spelling of 245343242544000 in words is "two hundred forty-five trillion, three hundred forty-three billion, two hundred forty-two million, five hundred forty-four thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 128 150 160 192 200 240 250 300 320 375 384 400 480 500 600 640 750 800 960 1000 1200 1500 1600 1920 2000 2400 3000 3200 4000 4800 6000 8000 9600 12000 16000 24000 48000 5111317553 10222635106 15333952659 20445270212 25556587765 30667905318 40890540424 51113175530 61335810636 76669763295 81781080848 102226351060 122671621272 127782938825 153339526590 163562161696 204452702120 245343242544 255565877650 306679053180 327124323392 383348816475 408905404240 490686485088 511131755300 613358106360 638914694125 654248646784 766697632950 817810808480 981372970176 1022263510600 1226716212720 1277829388250 1533395265900 1635621616960 1916744082375 1962745940352 2044527021200 2453432425440 2555658776500 3066790531800 3271243233920 3833488164750 4089054042400 4906864850880 5111317553000 6133581063600 7666976329500 8178108084800 9813729701760 10222635106000 12267162127200 15333952659000 16356216169600 20445270212000 24534324254400 30667905318000 40890540424000 49068648508800 61335810636000 81781080848000 122671621272000 245343242544000