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345512341215220 = 225383116159388313
BaseRepresentation
bin100111010001111011101110…
…0010111010001011111110100
31200022100122202010101010110111
41032203313130113101133310
5330241333233322341340
63222502102303232404
7132530304624010624
oct11643673427213764
91608318663333414
10345512341215220
11a00aaa63145173
1232902733ba8704
1311aa389b9448ca
146146c5a95a884
1529e28800a1aea
hex13a3ddc5d17f4

345512341215220 has 48 divisors (see below), whose sum is σ = 727478506782720. Its totient is φ = 137842546424576.

The previous prime is 345512341215187. The next prime is 345512341215233. The reversal of 345512341215220 is 22512143215543.

It is a super-2 number, since 2×3455123412152202 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 889583784 + ... + 889972096.

It is an arithmetic number, because the mean of its divisors is an integer number (15155802224640).

Almost surely, 2345512341215220 is an apocalyptic number.

It is an amenable number.

345512341215220 is an abundant number, since it is smaller than the sum of its proper divisors (381966165567500).

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

345512341215220 is a wasteful number, since it uses less digits than its factorization.

345512341215220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504864 (or 504862 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 40.

The spelling of 345512341215220 in words is "three hundred forty-five trillion, five hundred twelve billion, three hundred forty-one million, two hundred fifteen thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 383 766 1532 1915 3830 7660 116159 232318 388313 464636 580795 776626 1161590 1553252 1941565 2323180 3883130 7766260 44488897 88977794 148723879 177955588 222444485 297447758 444888970 594895516 743619395 889777940 1487238790 2974477580 45106049767 90212099534 180424199068 225530248835 451060497670 902120995340 17275617060761 34551234121522 69102468243044 86378085303805 172756170607610 345512341215220