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134224012620 = 2232553101139303
BaseRepresentation
bin111110100000001011…
…1111110010101001100
3110211110022011022121200
41331000113332111030
54144342321400440
6141354530225500
712461124165645
oct1750027762514
9424408138550
10134224012620
1151a18a57355
122201b425290
13c87103a199
1466d44926cc
153758ad7c30
hex1f405fe54c

134224012620 has 144 divisors (see below), whose sum is σ = 418938391872. Its totient is φ = 34769779200.

The previous prime is 134224012619. The next prime is 134224012631. The reversal of 134224012620 is 26210422431.

134224012620 is a `hidden beast` number, since 1 + 3 + 4 + 2 + 24 + 0 + 12 + 620 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 893889 + ... + 1033191.

It is an arithmetic number, because the mean of its divisors is an integer number (2909294388).

Almost surely, 2134224012620 is an apocalyptic number.

134224012620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134224012620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209469195936).

134224012620 is an abundant number, since it is smaller than the sum of its proper divisors (284714379252).

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

134224012620 is a wasteful number, since it uses less digits than its factorization.

134224012620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139472 (or 139467 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 134224012620 in words is "one hundred thirty-four billion, two hundred twenty-four million, twelve thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 53 60 90 101 106 159 180 202 212 265 303 318 404 477 505 530 606 636 795 909 954 1010 1060 1212 1515 1590 1818 1908 2020 2385 3030 3180 3636 4545 4770 5353 6060 9090 9540 10706 16059 18180 21412 26765 32118 48177 53530 64236 80295 96354 107060 139303 160590 192708 240885 278606 321180 417909 481770 557212 696515 835818 963540 1253727 1393030 1671636 2089545 2507454 2786060 4179090 5014908 6268635 7383059 8358180 12537270 14069603 14766118 22149177 25074540 28139206 29532236 36915295 42208809 44298354 56278412 66447531 70348015 73830590 84417618 88596708 110745885 126626427 132895062 140696030 147661180 168835236 211044045 221491770 253252854 265790124 281392060 332237655 422088090 442983540 506505708 633132135 664475310 745688959 844176180 1266264270 1328950620 1491377918 2237066877 2532528540 2982755836 3728444795 4474133754 6711200631 7456889590 8948267508 11185334385 13422401262 14913779180 22370668770 26844802524 33556003155 44741337540 67112006310 134224012620