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114996945480 = 233519711534219
BaseRepresentation
bin110101100011001011…
…0100010001001001000
3101222211100001002220220
41223012112202021020
53341003204223410
6124455011350040
711210505623424
oct1530626421110
9358740032826
10114996945480
114485186121a
121a3542b2320
13aac8829391
1457ccacbb84
152ed0b49070
hex1ac65a2248

114996945480 has 128 divisors (see below), whose sum is σ = 347125046400. Its totient is φ = 30476500992.

The previous prime is 114996945473. The next prime is 114996945491. The reversal of 114996945480 is 84549699411.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27254811 + ... + 27259029.

It is an arithmetic number, because the mean of its divisors is an integer number (2711914425).

Almost surely, 2114996945480 is an apocalyptic number.

114996945480 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 114996945480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173562523200).

114996945480 is an abundant number, since it is smaller than the sum of its proper divisors (232128100920).

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

114996945480 is a wasteful number, since it uses less digits than its factorization.

114996945480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5583 (or 5579 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 60.

The spelling of 114996945480 in words is "one hundred fourteen billion, nine hundred ninety-six million, nine hundred forty-five thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 197 394 591 788 985 1153 1182 1576 1970 2306 2364 2955 3459 3940 4219 4612 4728 5765 5910 6918 7880 8438 9224 11530 11820 12657 13836 16876 17295 21095 23060 23640 25314 27672 33752 34590 42190 46120 50628 63285 69180 84380 101256 126570 138360 168760 227141 253140 454282 506280 681423 831143 908564 1135705 1362846 1662286 1817128 2271410 2493429 2725692 3324572 3407115 4155715 4542820 4864507 4986858 5451384 6649144 6814230 8311430 9085640 9729014 9973716 12467145 13628460 14593521 16622860 19458028 19947432 24322535 24934290 27256920 29187042 33245720 38916056 48645070 49868580 58374084 72967605 97290140 99737160 116748168 145935210 194580280 291870420 583740840 958307879 1916615758 2874923637 3833231516 4791539395 5749847274 7666463032 9583078790 11499694548 14374618185 19166157580 22999389096 28749236370 38332315160 57498472740 114996945480