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114787019480 = 23573116677933
BaseRepresentation
bin110101011100111010…
…1101110101011011000
3101222021201000202120212
41222321311232223120
53340040434110410
6124422112110252
711202346365320
oct1527165565330
9358251022525
10114787019480
1144754309761
121a2b5b35388
13aa941a8103
1457acc84280
152ebc4cdb05
hex1ab9d6ead8

114787019480 has 128 divisors (see below), whose sum is σ = 304909332480. Its totient is φ = 38058370560.

The previous prime is 114787019429. The next prime is 114787019483. The reversal of 114787019480 is 84910787411.

It is a super-2 number, since 2×1147870194802 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114787019483) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14465594 + ... + 14473526.

It is an arithmetic number, because the mean of its divisors is an integer number (2382104160).

Almost surely, 2114787019480 is an apocalyptic number.

114787019480 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 114787019480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152454666240).

114787019480 is an abundant number, since it is smaller than the sum of its proper divisors (190122313000).

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

114787019480 is a wasteful number, since it uses less digits than its factorization.

114787019480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9649 (or 9645 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 50.

The spelling of 114787019480 in words is "one hundred fourteen billion, seven hundred eighty-seven million, nineteen thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 31 35 40 56 62 70 124 140 155 217 248 280 310 434 620 868 1085 1240 1667 1736 2170 3334 4340 6668 7933 8335 8680 11669 13336 15866 16670 23338 31732 33340 39665 46676 51677 55531 58345 63464 66680 79330 93352 103354 111062 116690 158660 206708 222124 233380 245923 258385 277655 317320 361739 413416 444248 466760 491846 516770 555310 723478 983692 1033540 1110620 1229615 1446956 1721461 1808695 1967384 2067080 2221240 2459230 2893912 3442922 3617390 4918460 6885844 7234780 8607305 9836920 13224311 13771688 14469560 17214610 26448622 34429220 52897244 66121555 68858440 92570177 105794488 132243110 185140354 264486220 370280708 409953641 462850885 528972440 740561416 819907282 925701770 1639814564 1851403540 2049768205 2869675487 3279629128 3702807080 4099536410 5739350974 8199072820 11478701948 14348377435 16398145640 22957403896 28696754870 57393509740 114787019480