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230146112574400 = 26521113076483669
BaseRepresentation
bin110100010101000100010001…
…010010010101001111000000
31010011212202100021220122112011
4310111010101102111033000
5220131203214304340100
62133251355312142304
766322336134264661
oct6425042122251700
91104782307818464
10230146112574400
1167371466719120
122198ba37537994
139b558ba782c39
1440b91ba353368
151b9196650cbba
hexd151114953c0

230146112574400 has 84 divisors (see below), whose sum is σ = 617785394505480. Its totient is φ = 83689495475200.

The previous prime is 230146112574373. The next prime is 230146112574401. The reversal of 230146112574400 is 4475211641032.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230146112574401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6538224235 + ... + 6538259434.

Almost surely, 2230146112574400 is an apocalyptic number.

230146112574400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230146112574400 is an abundant number, since it is smaller than the sum of its proper divisors (387639281931080).

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

230146112574400 is a wasteful number, since it uses less digits than its factorization.

230146112574400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13076483702 (or 13076483687 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 40.

The spelling of 230146112574400 in words is "two hundred thirty trillion, one hundred forty-six billion, one hundred twelve million, five hundred seventy-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 160 176 200 220 275 320 352 400 440 550 704 800 880 1100 1600 1760 2200 3520 4400 8800 17600 13076483669 26152967338 52305934676 65382418345 104611869352 130764836690 143841320359 209223738704 261529673380 287682640718 326912091725 418447477408 523059346760 575365281436 653824183450 719206601795 836894954816 1046118693520 1150730562872 1307648366900 1438413203590 2092237387040 2301461125744 2615296733800 2876826407180 3596033008975 4184474774080 4602922251488 5230593467600 5753652814360 7192066017950 9205844502976 10461186935200 11507305628720 14384132035900 20922373870400 23014611257440 28768264071800 46029222514880 57536528143600 115073056287200 230146112574400