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14153214144 = 263612235419
BaseRepresentation
bin11010010111001100…
…01110100011000000
31100112100202202212110
431023212032203000
5212441210323034
610300224255320
71010505222666
oct151346164300
940470682773
1014153214144
1160031362a3
1228aba71540
131447294a34
1498399ac36
1557c7e9de9
hex34b98e8c0

14153214144 has 112 divisors (see below), whose sum is σ = 38238663680. Its totient is φ = 4618736640.

The previous prime is 14153214113. The next prime is 14153214149. The reversal of 14153214144 is 44141235141.

It is not an unprimeable number, because it can be changed into a prime (14153214149) 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, 2609067 + ... + 2614485.

It is an arithmetic number, because the mean of its divisors is an integer number (341416640).

Almost surely, 214153214144 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 14153214144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19119331840).

14153214144 is an abundant number, since it is smaller than the sum of its proper divisors (24085449536).

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

14153214144 is a wasteful number, since it uses less digits than its factorization.

14153214144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5718 (or 5708 counting only the distinct ones).

The product of its digits is 7680, while the sum is 30.

Adding to 14153214144 its reverse (44141235141), we get a palindrome (58294449285).

The spelling of 14153214144 in words is "fourteen billion, one hundred fifty-three million, two hundred fourteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 64 96 122 183 192 223 244 366 446 488 669 732 892 976 1338 1464 1784 1952 2676 2928 3568 3904 5352 5419 5856 7136 10704 10838 11712 13603 14272 16257 21408 21676 27206 32514 40809 42816 43352 54412 65028 81618 86704 108824 130056 163236 173408 217648 260112 326472 330559 346816 435296 520224 652944 661118 870592 991677 1040448 1208437 1305888 1322236 1983354 2416874 2611776 2644472 3625311 3966708 4833748 5288944 7250622 7933416 9667496 10577888 14501244 15866832 19334992 21155776 29002488 31733664 38669984 58004976 63467328 73714657 77339968 116009952 147429314 221143971 232019904 294858628 442287942 589717256 884575884 1179434512 1769151768 2358869024 3538303536 4717738048 7076607072 14153214144