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55146231140 = 225711132211889
BaseRepresentation
bin110011010110111110…
…001011010101100100
312021100020100210121012
4303112332023111210
51400414413344030
641200035041352
73661401142040
oct632676132544
9167306323535
1055146231140
1121429678740
12a830440258
13527acaac00
142951db9020
15167b584095
hexcd6f8b564

55146231140 has 144 divisors (see below), whose sum is σ = 156344307840. Its totient is φ = 15866173440.

The previous prime is 55146231139. The next prime is 55146231169. The reversal of 55146231140 is 4113264155.

It is a super-2 number, since 2×551462311402 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 55146231097 and 55146231106.

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, 154316 + ... + 366204.

It is an arithmetic number, because the mean of its divisors is an integer number (1085724360).

Almost surely, 255146231140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55146231140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78172153920).

55146231140 is an abundant number, since it is smaller than the sum of its proper divisors (101198076700).

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

55146231140 is a wasteful number, since it uses less digits than its factorization.

55146231140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211942 (or 211927 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

Adding to 55146231140 its reverse (4113264155), we get a palindrome (59259495295).

The spelling of 55146231140 in words is "fifty-five billion, one hundred forty-six million, two hundred thirty-one thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 26 28 35 44 52 55 65 70 77 91 110 130 140 143 154 169 182 220 260 286 308 338 364 385 455 572 676 715 770 845 910 1001 1183 1430 1540 1690 1820 1859 2002 2366 2860 3380 3718 4004 4732 5005 5915 7436 9295 10010 11830 13013 18590 20020 23660 26026 37180 52052 65065 130130 211889 260260 423778 847556 1059445 1483223 2118890 2330779 2754557 2966446 4237780 4661558 5509114 5932892 7416115 9323116 11018228 11653895 13772785 14832230 16315453 19281899 23307790 27545570 29664460 30300127 32630906 35809241 38563798 46615580 55091140 60600254 65261812 71618482 77127596 81577265 96409495 121200508 143236964 151500635 163154530 179046205 192818990 212100889 250664687 303001270 326309060 358092410 385637980 393901651 424201778 501329374 606002540 716184820 787803302 848403556 1002658748 1060504445 1253323435 1575606604 1969508255 2121008890 2506646870 2757311557 3939016510 4242017780 5013293740 5514623114 7878033020 11029246228 13786557785 27573115570 55146231140