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10114501144 = 2311472699091
BaseRepresentation
bin10010110101101111…
…10000101000011000
3222002220012220011111
421122313300220120
5131203303014034
64351352510104
7505434561346
oct113267605030
928086186144
1010114501144
114320410460
121b633ab334
13c5263a527
146bd44a996
153e2e79364
hex25adf0a18

10114501144 has 64 divisors (see below), whose sum is σ = 21209817600. Its totient is φ = 4482460800.

The previous prime is 10114501139. The next prime is 10114501171. The reversal of 10114501144 is 44110541101.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1108039 + ... + 1117129.

It is an arithmetic number, because the mean of its divisors is an integer number (331403400).

Almost surely, 210114501144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10114501144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10604908800).

10114501144 is an abundant number, since it is smaller than the sum of its proper divisors (11095316456).

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

10114501144 is a wasteful number, since it uses less digits than its factorization.

10114501144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9424 (or 9420 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 22.

The spelling of 10114501144 in words is "ten billion, one hundred fourteen million, five hundred one thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 22 44 47 88 94 188 269 376 517 538 1034 1076 2068 2152 2959 4136 5918 9091 11836 12643 18182 23672 25286 36364 50572 72728 100001 101144 139073 200002 278146 400004 427277 556292 800008 854554 1112584 1709108 2445479 3418216 4700047 4890958 9400094 9781916 18800188 19563832 26900269 37600376 53800538 107601076 114937513 215202152 229875026 459750052 919500104 1264312643 2528625286 5057250572 10114501144