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23212410245040 = 2435412358984781
BaseRepresentation
bin1010100011100100011110…
…11101111000111110110000
310001012002021210002020100110
411101302033131320332300
511020303004010320130
6121211344542221320
74614020110411302
oct521621735707660
9101162253066313
1023212410245040
11743a367489775
12272a879284840
13cc4bc8285163
145a36b5523972
152a3c1c308ab0
hex151c8f778fb0

23212410245040 has 80 divisors (see below), whose sum is σ = 73713556467936. Its totient is φ = 6039001036800.

The previous prime is 23212410245023. The next prime is 23212410245041. The reversal of 23212410245040 is 4054201421232.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 23212410244989 and 23212410245007.

It is not an unprimeable number, because it can be changed into a prime (23212410245041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1179482551 + ... + 1179502230.

Almost surely, 223212410245040 is an apocalyptic number.

23212410245040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23212410245040 is an abundant number, since it is smaller than the sum of its proper divisors (50501146222896).

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

23212410245040 is a wasteful number, since it uses less digits than its factorization.

23212410245040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2358984838 (or 2358984832 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 23212410245040 its reverse (4054201421232), we get a palindrome (27266611666272).

The spelling of 23212410245040 in words is "twenty-three trillion, two hundred twelve billion, four hundred ten million, two hundred forty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 41 48 60 80 82 120 123 164 205 240 246 328 410 492 615 656 820 984 1230 1640 1968 2460 3280 4920 9840 2358984781 4717969562 7076954343 9435939124 11794923905 14153908686 18871878248 23589847810 28307817372 35384771715 37743756496 47179695620 56615634744 70769543430 94359391240 96718376021 113231269488 141539086860 188718782480 193436752042 283078173720 290155128063 386873504084 483591880105 566156347440 580310256126 773747008168 967183760210 1160620512252 1450775640315 1547494016336 1934367520420 2321241024504 2901551280630 3868735040840 4642482049008 5803102561260 7737470081680 11606205122520 23212410245040