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230001421434144 = 2533177285423869
BaseRepresentation
bin110100010010111101100001…
…000001011011110100100000
31010011100220212112000011010120
4310102331201001123310200
5220121320402341343034
62133101105551000240
766306024431010633
oct6422754101336440
91104326775004116
10230001421434144
1167316067302968
1221967996809080
139b4506c042a09
1440b21b1aa1c1a
151b8cce8a43c49
hexd12f6105bd20

230001421434144 has 48 divisors (see below), whose sum is σ = 623229658087680. Its totient is φ = 74194006913280.

The previous prime is 230001421434137. The next prime is 230001421434193. The reversal of 230001421434144 is 441434124100032.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38642708959 + ... + 38642714910.

It is an arithmetic number, because the mean of its divisors is an integer number (12983951210160).

Almost surely, 2230001421434144 is an apocalyptic number.

230001421434144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

230001421434144 is an abundant number, since it is smaller than the sum of its proper divisors (393228236653536).

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

230001421434144 is a wasteful number, since it uses less digits than its factorization.

230001421434144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77285423913 (or 77285423905 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 230001421434144 its reverse (441434124100032), we get a palindrome (671435545534176).

The spelling of 230001421434144 in words is "two hundred thirty trillion, one billion, four hundred twenty-one million, four hundred thirty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1488 2976 77285423869 154570847738 231856271607 309141695476 463712543214 618283390952 927425086428 1236566781904 1854850172856 2395848139939 2473133563808 3709700345712 4791696279878 7187544419817 7419400691424 9583392559756 14375088839634 19166785119512 28750177679268 38333570239024 57500355358536 76667140478048 115000710717072 230001421434144