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10145412434346 = 237290433816013
BaseRepresentation
bin1001001110100010100110…
…1101000100100110101010
31022220220002020101021200220
42103220221231010212222
52312210301040344341
633324423234110510
72064660530551500
oct223505155044652
938826066337626
1010145412434346
1132617109131a2
12117a2ba11b436
13587929152297
1427107d4dc670
15128d8add8a66
hex93a29b449aa

10145412434346 has 48 divisors (see below), whose sum is σ = 23606228941344. Its totient is φ = 2898367962336.

The previous prime is 10145412434321. The next prime is 10145412434357. The reversal of 10145412434346 is 64343421454101.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 10145412434298 and 10145412434307.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 750636 + ... + 4566648.

It is an arithmetic number, because the mean of its divisors is an integer number (491796436278).

Almost surely, 210145412434346 is an apocalyptic number.

10145412434346 is an abundant number, since it is smaller than the sum of its proper divisors (13460816506998).

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

10145412434346 is a wasteful number, since it uses less digits than its factorization.

10145412434346 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3825075 (or 3825068 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 42.

Adding to 10145412434346 its reverse (64343421454101), we get a palindrome (74488833888447).

The spelling of 10145412434346 in words is "ten trillion, one hundred forty-five billion, four hundred twelve million, four hundred thirty-four thousand, three hundred forty-six".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 294 9043 18086 27129 54258 63301 126602 189903 379806 443107 886214 1329321 2658642 3816013 7632026 11448039 22896078 26712091 53424182 80136273 160272546 186984637 373969274 560953911 1121907822 34508205559 69016411118 103524616677 207049233354 241557438913 483114877826 724672316739 1449344633478 1690902072391 3381804144782 5072706217173 10145412434346