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114534143040 = 2635127993281
BaseRepresentation
bin110101010101011000…
…1000101010001000000
3101221122002012022022210
41222222301011101000
53334031220034130
6124341040102120
711163156103242
oct1525261052100
9357562168283
10114534143040
11446345a0969
121a245304940
13aa53999395
14578745a092
152ea51cc5b0
hex1aaac45440

114534143040 has 112 divisors (see below), whose sum is σ = 363934126080. Its totient is φ = 30518231040.

The previous prime is 114534143021. The next prime is 114534143047. The reversal of 114534143040 is 40341435411.

It is a super-3 number, since 3×1145341430403 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 114534142989 and 114534143007.

It is not an unprimeable number, because it can be changed into a prime (114534143047) 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, 1181200 + ... + 1274480.

It is an arithmetic number, because the mean of its divisors is an integer number (3249411840).

Almost surely, 2114534143040 is an apocalyptic number.

114534143040 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 114534143040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181967063040).

114534143040 is an abundant number, since it is smaller than the sum of its proper divisors (249399983040).

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

114534143040 is a wasteful number, since it uses less digits than its factorization.

114534143040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94580 (or 94570 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 114534143040 its reverse (40341435411), we get a palindrome (154875578451).

The spelling of 114534143040 in words is "one hundred fourteen billion, five hundred thirty-four million, one hundred forty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 1279 2558 3837 5116 6395 7674 10232 12790 15348 19185 20464 25580 30696 38370 40928 51160 61392 76740 81856 93281 102320 122784 153480 186562 204640 245568 279843 306960 373124 409280 466405 559686 613920 746248 932810 1119372 1227840 1399215 1492496 1865620 2238744 2798430 2984992 3731240 4477488 5596860 5969984 7462480 8954976 11193720 14924960 17909952 22387440 29849920 44774880 89549760 119306399 238612798 357919197 477225596 596531995 715838394 954451192 1193063990 1431676788 1789595985 1908902384 2386127980 2863353576 3579191970 3817804768 4772255960 5726707152 7158383940 7635609536 9544511920 11453414304 14316767880 19089023840 22906828608 28633535760 38178047680 57267071520 114534143040