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4414298688 = 26332819091
BaseRepresentation
bin1000001110001110…
…01101101001000000
3102101122021121102000
410013013031221000
533020030024223
62010005424000
7214250630322
oct40707155100
912348247360
104414298688
111965835a38
12a3240b000
135546cb377
142dc39b612
151ac810543
hex1071cda40

4414298688 has 112 divisors (see below), whose sum is σ = 13024835520. Its totient is φ = 1466035200.

The previous prime is 4414298683. The next prime is 4414298699. The reversal of 4414298688 is 8868924144.

It is a happy number.

4414298688 is a `hidden beast` number, since 441 + 42 + 9 + 86 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (4414298683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 481023 + ... + 490113.

Almost surely, 24414298688 is an apocalyptic number.

4414298688 is a gapful number since it is divisible by the number (48) 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 4414298688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6512417760).

4414298688 is an abundant number, since it is smaller than the sum of its proper divisors (8610536832).

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

4414298688 is a wasteful number, since it uses less digits than its factorization.

4414298688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9393 (or 9377 counting only the distinct ones).

The product of its digits is 3538944, while the sum is 54.

The square root of 4414298688 is about 66440.1888016583. The cubic root of 4414298688 is about 1640.4156551041.

The spelling of 4414298688 in words is "four billion, four hundred fourteen million, two hundred ninety-eight thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 281 288 432 562 576 843 864 1124 1686 1728 2248 2529 3372 4496 5058 6744 7587 8992 9091 10116 13488 15174 17984 18182 20232 26976 27273 30348 36364 40464 53952 54546 60696 72728 80928 81819 109092 121392 145456 161856 163638 218184 242784 245457 290912 327276 436368 485568 490914 581824 654552 872736 981828 1309104 1745472 1963656 2554571 2618208 3927312 5109142 5236416 7663713 7854624 10218284 15327426 15709248 20436568 22991139 30654852 40873136 45982278 61309704 68973417 81746272 91964556 122619408 137946834 163492544 183929112 245238816 275893668 367858224 490477632 551787336 735716448 1103574672 1471432896 2207149344 4414298688