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130418848000 = 28537582227
BaseRepresentation
bin111100101110110010…
…0011011000100000000
3110110122010001221001201
41321131210123010000
54114044211114000
6135525200310544
712264620626360
oct1713544330400
9413563057051
10130418848000
1150346048901
1221339012454
13c3b58b509c
146452d789a0
1535d49eb96a
hex1e5d91b100

130418848000 has 144 divisors (see below), whose sum is σ = 371303097984. Its totient is φ = 44714956800.

The previous prime is 130418847971. The next prime is 130418848009. The reversal of 130418848000 is 848814031.

It is not an unprimeable number, because it can be changed into a prime (130418848009) 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, 67114 + ... + 515113.

It is an arithmetic number, because the mean of its divisors is an integer number (2578493736).

Almost surely, 2130418848000 is an apocalyptic number.

130418848000 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 130418848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185651548992).

130418848000 is an abundant number, since it is smaller than the sum of its proper divisors (240884249984).

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

130418848000 is an frugal number, since it uses more digits than its factorization.

130418848000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582265 (or 582241 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 37.

The spelling of 130418848000 in words is "one hundred thirty billion, four hundred eighteen million, eight hundred forty-eight thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 125 128 140 160 175 200 224 250 256 280 320 350 400 448 500 560 640 700 800 875 896 1000 1120 1280 1400 1600 1750 1792 2000 2240 2800 3200 3500 4000 4480 5600 6400 7000 8000 8960 11200 14000 16000 22400 28000 32000 44800 56000 112000 224000 582227 1164454 2328908 2911135 4075589 4657816 5822270 8151178 9315632 11644540 14555675 16302356 18631264 20377945 23289080 29111350 32604712 37262528 40755890 46578160 58222700 65209424 72778375 74525056 81511780 93156320 101889725 116445400 130418848 145556750 149050112 163023560 186312640 203779450 232890800 260837696 291113500 326047120 372625280 407558900 465781600 509448625 521675392 582227000 652094240 745250560 815117800 931563200 1018897250 1043350784 1164454000 1304188480 1630235600 1863126400 2037794500 2328908000 2608376960 3260471200 3726252800 4075589000 4657816000 5216753920 6520942400 8151178000 9315632000 13041884800 16302356000 18631264000 26083769600 32604712000 65209424000 130418848000