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412343404011344 = 24139720437321769
BaseRepresentation
bin101110111000001100010111…
…0000111110001111101010000
32000001222122101210120110220002
41131300120232013301331100
5413021313242411330334
64020551540020505132
7152565553642613441
oct13560305607617520
92001878353513802
10412343404011344
1110a426945880953
123a2b6ab784b1a8
1314910a7c11a390
1473b7754a692c8
1532a0ee8e90b7e
hex177062e1f1f50

412343404011344 has 40 divisors (see below), whose sum is σ = 869240169521640. Its totient is φ = 188350357413888.

The previous prime is 412343404011317. The next prime is 412343404011361. The reversal of 412343404011344 is 443110404343214.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 5035930951744 + 407307473059600 = 2244088^2 + 20181860^2 .

It is a junction number, because it is equal to n+sod(n) for n = 412343404011298 and 412343404011307.

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, 10218640709 + ... + 10218681060.

It is an arithmetic number, because the mean of its divisors is an integer number (21731004238041).

Almost surely, 2412343404011344 is an apocalyptic number.

It is an amenable number.

412343404011344 is an abundant number, since it is smaller than the sum of its proper divisors (456896765510296).

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

412343404011344 is a wasteful number, since it uses less digits than its factorization.

412343404011344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20437321887 (or 20437321881 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 38.

Adding to 412343404011344 its reverse (443110404343214), we get a palindrome (855453808354558).

The spelling of 412343404011344 in words is "four hundred twelve trillion, three hundred forty-three billion, four hundred four million, eleven thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 16 26 52 97 104 194 208 388 776 1261 1552 2522 5044 10088 20176 20437321769 40874643538 81749287076 163498574152 265685182997 326997148304 531370365994 1062740731988 1982420211593 2125481463976 3964840423186 4250962927952 7929680846372 15859361692744 25771462750709 31718723385488 51542925501418 103085851002836 206171702005672 412343404011344