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114536513000 = 23537131258643
BaseRepresentation
bin110101010101011101…
…0000111110111101000
3101221122020122201022002
41222222322013313220
53334032321404000
6124341202550132
711163215203610
oct1525272076750
9357566581262
10114536513000
114463596a508
121a246068348
13aa54319020
1457878b5a40
152ea54e98d5
hex1aaae87de8

114536513000 has 128 divisors (see below), whose sum is σ = 329865419520. Its totient is φ = 36248889600.

The previous prime is 114536512927. The next prime is 114536513059. The reversal of 114536513000 is 315635411.

It is a super-2 number, since 2×1145365130002 (a number of 23 digits) contains 22 as substring.

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, 538322 + ... + 720321.

It is an arithmetic number, because the mean of its divisors is an integer number (2577073590).

Almost surely, 2114536513000 is an apocalyptic number.

114536513000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114536513000 is an abundant number, since it is smaller than the sum of its proper divisors (215328906520).

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

114536513000 is a wasteful number, since it uses less digits than its factorization.

114536513000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1258684 (or 1258670 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 29.

The spelling of 114536513000 in words is "one hundred fourteen billion, five hundred thirty-six million, five hundred thirteen thousand".

Divisors: 1 2 4 5 7 8 10 13 14 20 25 26 28 35 40 50 52 56 65 70 91 100 104 125 130 140 175 182 200 250 260 280 325 350 364 455 500 520 650 700 728 875 910 1000 1300 1400 1625 1750 1820 2275 2600 3250 3500 3640 4550 6500 7000 9100 11375 13000 18200 22750 45500 91000 1258643 2517286 5034572 6293215 8810501 10069144 12586430 16362359 17621002 25172860 31466075 32724718 35242004 44052505 50345720 62932150 65449436 70484008 81811795 88105010 114536513 125864300 130898872 157330375 163623590 176210020 220262525 229073026 251728600 314660750 327247180 352420040 409058975 440525050 458146052 572682565 629321500 654494360 818117950 881050100 916292104 1101312625 1145365130 1258643000 1636235900 1762100200 2045294875 2202625250 2290730260 2863412825 3272471800 4090589750 4405250500 4581460520 5726825650 8181179500 8810501000 11453651300 14317064125 16362359000 22907302600 28634128250 57268256500 114536513000