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114655374240 = 25351146746499
BaseRepresentation
bin110101011000111111…
…1100010101110100000
3101221221112022111021020
41222301333202232200
53334303233433430
6124401050325440
711166160413051
oct1526177425640
9357845274236
10114655374240
1144696a73740
121a279a29880
13aa72b34814
1457995b6728
152eb0b77b10
hex1ab1fe2ba0

114655374240 has 192 divisors, whose sum is σ = 394849728000. Its totient is φ = 27735127040.

The previous prime is 114655374227. The next prime is 114655374247. The reversal of 114655374240 is 42473556411.

It is a super-2 number, since 2×1146553742402 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 114655374192 and 114655374201.

It is not an unprimeable number, because it can be changed into a prime (114655374247) 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, 2442511 + ... + 2489009.

It is an arithmetic number, because the mean of its divisors is an integer number (2056509000).

Almost surely, 2114655374240 is an apocalyptic number.

114655374240 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 114655374240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197424864000).

114655374240 is an abundant number, since it is smaller than the sum of its proper divisors (280194353760).

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

114655374240 is a wasteful number, since it uses less digits than its factorization.

114655374240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46995 (or 46987 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 42.

The spelling of 114655374240 in words is "one hundred fourteen billion, six hundred fifty-five million, three hundred seventy-four thousand, two hundred forty".