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130456503540 = 2232511411607003
BaseRepresentation
bin111100101111111010…
…0000100010011110100
3110110201201221000202100
41321133310010103310
54114133331103130
6135533023342100
712265555661316
oct1713764042364
9413651830670
10130456503540
1150365327a90
1221349751930
13c3c063a77c
146457d7b7b6
1535d7e88c60
hex1e5fd044f4

130456503540 has 144 divisors (see below), whose sum is σ = 442221788736. Its totient is φ = 30854438400.

The previous prime is 130456503523. The next prime is 130456503571. The reversal of 130456503540 is 45305654031.

130456503540 is a `hidden beast` number, since 13 + 0 + 4 + 56 + 50 + 3 + 540 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 130456503495 and 130456503504.

It is a congruent number.

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, 722322 + ... + 884681.

It is an arithmetic number, because the mean of its divisors is an integer number (3070984644).

Almost surely, 2130456503540 is an apocalyptic number.

130456503540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130456503540 is an abundant number, since it is smaller than the sum of its proper divisors (311765285196).

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

130456503540 is a wasteful number, since it uses less digits than its factorization.

130456503540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1607070 (or 1607065 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 130456503540 in words is "one hundred thirty billion, four hundred fifty-six million, five hundred three thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 41 44 45 55 60 66 82 90 99 110 123 132 164 165 180 198 205 220 246 330 369 396 410 451 492 495 615 660 738 820 902 990 1230 1353 1476 1804 1845 1980 2255 2460 2706 3690 4059 4510 5412 6765 7380 8118 9020 13530 16236 20295 27060 40590 81180 1607003 3214006 4821009 6428012 8035015 9642018 14463027 16070030 17677033 19284036 24105045 28926054 32140060 35354066 48210090 53031099 57852108 65887123 70708132 72315135 88385165 96420180 106062198 131774246 144630270 159093297 176770330 197661369 212124396 263548492 265155495 289260540 318186594 329435615 353540660 395322738 530310990 592984107 636373188 658871230 724758353 790645476 795466485 988306845 1060621980 1185968214 1317742460 1449516706 1590932970 1976613690 2174275059 2371936428 2899033412 2964920535 3181865940 3623791765 3953227380 4348550118 5929841070 6522825177 7247583530 8697100236 10871375295 11859682140 13045650354 14495167060 21742750590 26091300708 32614125885 43485501180 65228251770 130456503540