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114213440 = 2651171457
BaseRepresentation
bin1101100111011…
…00001001000000
321221220122101102
412303230021000
5213214312230
615155553532
72554540535
oct663541100
9257818342
10114213440
115951a280
12322bb8a8
131a87c123
1411250d8c
15a061045
hex6cec240

114213440 has 112 divisors (see below), whose sum is σ = 301532544. Its totient is φ = 40857600.

The previous prime is 114213419. The next prime is 114213443. The reversal of 114213440 is 44312411.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (114213443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 249692 + ... + 250148.

Almost surely, 2114213440 is an apocalyptic number.

114213440 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 114213440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150766272).

114213440 is an abundant number, since it is smaller than the sum of its proper divisors (187319104).

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

114213440 is a wasteful number, since it uses less digits than its factorization.

114213440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 114213440 is about 10687.0688217116. The cubic root of 114213440 is about 485.1831808849.

Adding to 114213440 its reverse (44312411), we get a palindrome (158525851).

The spelling of 114213440 in words is "one hundred fourteen million, two hundred thirteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 71 80 88 110 142 160 176 220 284 320 352 355 440 457 568 704 710 781 880 914 1136 1420 1562 1760 1828 2272 2285 2840 3124 3520 3656 3905 4544 4570 5027 5680 6248 7312 7810 9140 10054 11360 12496 14624 15620 18280 20108 22720 24992 25135 29248 31240 32447 36560 40216 49984 50270 62480 64894 73120 80432 100540 124960 129788 146240 160864 162235 201080 249920 259576 321728 324470 356917 402160 519152 648940 713834 804320 1038304 1297880 1427668 1608640 1784585 2076608 2595760 2855336 3569170 5191520 5710672 7138340 10383040 11421344 14276680 22842688 28553360 57106720 114213440