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130755514000 = 2453241271277
BaseRepresentation
bin111100111000110100…
…0101100111010010000
3110111111120120022222211
41321301220230322100
54120241402422000
6140022424241504
712306146350036
oct1716150547220
9414446508884
10130755514000
11504a9095a71
1221411910294
13c43a580037
146485974556
15360434e7ba
hex1e71a2ce90

130755514000 has 80 divisors (see below), whose sum is σ = 317479898736. Its totient is φ = 52084992000.

The previous prime is 130755513953. The next prime is 130755514003. The reversal of 130755514000 is 415557031.

It can be written as a sum of positive squares in 8 ways, for example, as 44573343376 + 86182170624 = 211124^2 + 293568^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (130755514003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 346362 + ... + 617638.

Almost surely, 2130755514000 is an apocalyptic number.

130755514000 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 130755514000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158739949368).

130755514000 is an abundant number, since it is smaller than the sum of its proper divisors (186724384736).

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

130755514000 is a wasteful number, since it uses less digits than its factorization.

130755514000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271541 (or 271525 counting only the distinct ones).

The product of its (nonzero) digits is 10500, while the sum is 31.

The spelling of 130755514000 in words is "one hundred thirty billion, seven hundred fifty-five million, five hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 241 250 400 482 500 964 1000 1205 1928 2000 2410 3856 4820 6025 9640 12050 19280 24100 30125 48200 60250 96400 120500 241000 271277 482000 542554 1085108 1356385 2170216 2712770 4340432 5425540 6781925 10851080 13563850 21702160 27127700 33909625 54255400 65377757 67819250 108510800 130755514 135638500 261511028 271277000 326888785 523022056 542554000 653777570 1046044112 1307555140 1634443925 2615110280 3268887850 5230220560 6537775700 8172219625 13075551400 16344439250 26151102800 32688878500 65377757000 130755514000