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412133441130 = 232529672356799
BaseRepresentation
bin1011111111101010001…
…00010011111001101010
31110101210021210001011100
411333311010103321222
523223022130104010
6513155333542230
741530023306645
oct5776504237152
91411707701140
10412133441130
1114986a6462a4
1267a5a7a4976
132cb303249c8
1415d397d8a5c
15aac1c272c0
hex5ff5113e6a

412133441130 has 96 divisors (see below), whose sum is σ = 1125042048000. Its totient is φ = 104528704896.

The previous prime is 412133441077. The next prime is 412133441147. The reversal of 412133441130 is 31144331214.

412133441130 is a `hidden beast` number, since 4 + 1 + 213 + 3 + 4 + 411 + 30 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 412133441094 and 412133441103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1003530 + ... + 1353269.

It is an arithmetic number, because the mean of its divisors is an integer number (11719188000).

Almost surely, 2412133441130 is an apocalyptic number.

412133441130 is an abundant number, since it is smaller than the sum of its proper divisors (712908606870).

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

412133441130 is a wasteful number, since it uses less digits than its factorization.

412133441130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2356908 (or 2356905 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 412133441130 its reverse (31144331214), we get a palindrome (443277772344).

The spelling of 412133441130 in words is "four hundred twelve billion, one hundred thirty-three million, four hundred forty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 67 87 90 134 145 174 201 261 290 335 402 435 522 603 670 870 1005 1206 1305 1943 2010 2610 3015 3886 5829 6030 9715 11658 17487 19430 29145 34974 58290 87435 174870 2356799 4713598 7070397 11783995 14140794 21211191 23567990 35351985 42422382 68347171 70703970 106055955 136694342 157905533 205041513 212111910 315811066 341735855 410083026 473716599 615124539 683471710 789527665 947433198 1025207565 1230249078 1421149797 1579055330 2050415130 2368582995 2842299594 3075622695 4579260457 4737165990 6151245390 7105748985 9158520914 13737781371 14211497970 22896302285 27475562742 41213344113 45792604570 68688906855 82426688226 137377813710 206066720565 412133441130