Search a number
-
+
114015754140 = 223527119073677
BaseRepresentation
bin110101000101111011…
…1100101011110011100
3101220021221202102102220
41222023313211132130
53332001013113030
6124213401145340
711144262630321
oct1521367453634
9356257672386
10114015754140
1144398a14692
121a11b78b250
13a9a04762a2
145738678b48
152e74930a10
hex1a8bde579c

114015754140 has 96 divisors (see below), whose sum is σ = 320677346304. Its totient is φ = 30267889920.

The previous prime is 114015754129. The next prime is 114015754147. The reversal of 114015754140 is 41457510411.

It is a super-2 number, since 2×1140157541402 (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 (114015754147) 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, 31005982 + ... + 31009658.

It is an arithmetic number, because the mean of its divisors is an integer number (3340389024).

Almost surely, 2114015754140 is an apocalyptic number.

114015754140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114015754140 is an abundant number, since it is smaller than the sum of its proper divisors (206661592164).

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

114015754140 is a wasteful number, since it uses less digits than its factorization.

114015754140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5867 (or 5865 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 33.

The spelling of 114015754140 in words is "one hundred fourteen billion, fifteen million, seven hundred fifty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 271 542 813 1084 1355 1626 1907 2710 3252 3677 3814 4065 5420 5721 7354 7628 8130 9535 11031 11442 14708 16260 18385 19070 22062 22884 28605 36770 38140 44124 55155 57210 73540 110310 114420 220620 516797 996467 1033594 1550391 1992934 2067188 2583985 2989401 3100782 3985868 4982335 5167970 5978802 6201564 7012039 7751955 9964670 10335940 11957604 14024078 14947005 15503910 19929340 21036117 28048156 29894010 31007820 35060195 42072234 59788020 70120390 84144468 105180585 140240780 210361170 420722340 1900262569 3800525138 5700787707 7601050276 9501312845 11401575414 19002625690 22803150828 28503938535 38005251380 57007877070 114015754140