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354245123244120 = 23357613879162541
BaseRepresentation
bin101000010001011110001111…
…0101111000000000001011000
31201110021111120201102112122020
41100202330132233000001120
5332412423003022302440
63253225544001254440
7134421236250342033
oct12042743657000130
91643244521375566
10354245123244120
11a2967570a13569
12338930b3034420
1312288230545224
1463697ac21201a
152ae4ade0833d0
hex1422f1ebc0058

354245123244120 has 64 divisors (see below), whose sum is σ = 1064131868521440. Its totient is φ = 94341232972800.

The previous prime is 354245123244119. The next prime is 354245123244161. The reversal of 354245123244120 is 21442321542453.

It is a super-3 number, since 3×3542451232441203 (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 1939489951 + ... + 1939672590.

Almost surely, 2354245123244120 is an apocalyptic number.

354245123244120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

354245123244120 is an abundant number, since it is smaller than the sum of its proper divisors (709886745277320).

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

354245123244120 is a wasteful number, since it uses less digits than its factorization.

354245123244120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3879163316 (or 3879163312 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 42.

Adding to 354245123244120 its reverse (21442321542453), we get a palindrome (375687444786573).

The spelling of 354245123244120 in words is "three hundred fifty-four trillion, two hundred forty-five billion, one hundred twenty-three million, two hundred forty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 761 1522 2283 3044 3805 4566 6088 7610 9132 11415 15220 18264 22830 30440 45660 91320 3879162541 7758325082 11637487623 15516650164 19395812705 23274975246 31033300328 38791625410 46549950492 58187438115 77583250820 93099900984 116374876230 155166501640 232749752460 465499504920 2952042693701 5904085387402 8856128081103 11808170774804 14760213468505 17712256162206 23616341549608 29520426937010 35424512324412 44280640405515 59040853874020 70849024648824 88561280811030 118081707748040 177122561622060 354245123244120