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355213414113144 = 233107131113815371
BaseRepresentation
bin101000011000100001001000…
…1010111100001111101111000
31201120201001220120112012210220
41100301002101113201331320
5333024304033003110034
63255250442323140040
7134551215353050056
oct12061022127417570
91646631816465726
10355213414113144
11a3200187965a94
1233a0a8a5814620
1312328634323272
1463a05c722d1d6
152b0edb1b16749
hex14310915e1f78

355213414113144 has 32 divisors (see below), whose sum is σ = 888034428483840. Its totient is φ = 118404352277600.

The previous prime is 355213414113133. The next prime is 355213414113149. The reversal of 355213414113144 is 441311414312553.

It is a junction number, because it is equal to n+sod(n) for n = 355213414113096 and 355213414113105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (355213414113149) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18803779 + ... + 32619149.

It is an arithmetic number, because the mean of its divisors is an integer number (27751075890120).

Almost surely, 2355213414113144 is an apocalyptic number.

It is an amenable number.

355213414113144 is an abundant number, since it is smaller than the sum of its proper divisors (532821014370696).

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

355213414113144 is a wasteful number, since it uses less digits than its factorization.

355213414113144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14886691 (or 14886687 counting only the distinct ones).

The product of its digits is 345600, while the sum is 42.

Adding to 355213414113144 its reverse (441311414312553), we get a palindrome (796524828425697).

The spelling of 355213414113144 in words is "three hundred fifty-five trillion, two hundred thirteen billion, four hundred fourteen million, one hundred thirteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 1071311 2142622 3213933 4285244 6427866 8570488 12855732 13815371 25711464 27630742 41446113 55261484 82892226 110522968 165784452 331568904 14800558921381 29601117842762 44401676764143 59202235685524 88803353528286 118404471371048 177606707056572 355213414113144