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461212302031140 = 2235113835191822091
BaseRepresentation
bin110100011011110000101101…
…1011011011011100100100100
32020111000110120022210200021110
41220313201123123123210210
5440423000243304444030
64312530001225145020
7166101326540210112
oct15067413333334444
92214013508720243
10461212302031140
11123a58047797980
124388a04a92b170
1316a471972a7bba
1481c6b1a268ab2
15384c2cc8ed1b0
hex1a3785b6db924

461212302031140 has 96 divisors (see below), whose sum is σ = 1408798387261440. Its totient is φ = 111808690019200.

The previous prime is 461212302031123. The next prime is 461212302031181. The reversal of 461212302031140 is 41130203212164.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 461212302031098 and 461212302031107.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 252211495 + ... + 254033585.

It is an arithmetic number, because the mean of its divisors is an integer number (14674983200640).

Almost surely, 2461212302031140 is an apocalyptic number.

It is an amenable number.

461212302031140 is an abundant number, since it is smaller than the sum of its proper divisors (947586085230300).

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

461212302031140 is a wasteful number, since it uses less digits than its factorization.

461212302031140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2205633 (or 2205631 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The spelling of 461212302031140 in words is "four hundred sixty-one trillion, two hundred twelve billion, three hundred two million, thirty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 383519 767038 1150557 1534076 1822091 1917595 2301114 3644182 3835190 4218709 4602228 5466273 5752785 7288364 7670380 8437418 9110455 10932546 11505570 12656127 16874836 18220910 20043001 21093545 21865092 23011140 25312254 27331365 36441820 40086002 42187090 50624508 54662730 60129003 63280635 80172004 84374180 100215005 109325460 120258006 126561270 200430010 240516012 253122540 300645015 400860020 601290030 1202580060 698806518229 1397613036458 2096419554687 2795226072916 3494032591145 4192839109374 6988065182290 7686871700519 8385678218748 10482097773435 13976130364580 15373743401038 20964195546870 23060615101557 30747486802076 38434358502595 41928391093740 46121230203114 76868717005190 92242460406228 115303075507785 153737434010380 230606151015570 461212302031140