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14120913384 = 233453715791
BaseRepresentation
bin11010010011010110…
…00000100111101000
31100110002222201120000
431021223000213220
5212404423212014
610253112103000
71006633532454
oct151153004750
940402881500
1014120913384
115a96984256
1228a1094a60
131440695766
1497d58d664
15579a69509
hex349ac09e8

14120913384 has 160 divisors (see below), whose sum is σ = 40872522240. Its totient is φ = 4552329600.

The previous prime is 14120913353. The next prime is 14120913403. The reversal of 14120913384 is 48331902141.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2435529 + ... + 2441319.

It is an arithmetic number, because the mean of its divisors is an integer number (255453264).

Almost surely, 214120913384 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 14120913384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20436261120).

14120913384 is an abundant number, since it is smaller than the sum of its proper divisors (26751608856).

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

14120913384 is a wasteful number, since it uses less digits than its factorization.

14120913384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5933 (or 5920 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 14120913384 in words is "fourteen billion, one hundred twenty million, nine hundred thirteen thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 53 54 71 72 81 106 108 142 159 162 212 213 216 284 318 324 424 426 477 568 636 639 648 852 954 1272 1278 1431 1704 1908 1917 2556 2862 3763 3816 3834 4293 5112 5724 5751 5791 7526 7668 8586 11289 11448 11502 11582 15052 15336 17172 17373 22578 23004 23164 30104 33867 34344 34746 45156 46008 46328 52119 67734 69492 90312 101601 104238 135468 138984 156357 203202 208476 270936 304803 306923 312714 406404 411161 416952 469071 609606 613846 625428 812808 822322 920769 938142 1219212 1227692 1233483 1250856 1644644 1841538 1876284 2438424 2455384 2466966 2762307 3289288 3683076 3700449 3752568 4933932 5524614 7366152 7400898 8286921 9867864 11049228 11101347 14801796 16573842 21791533 22098456 22202694 24860763 29603592 33147684 33304041 43583066 44405388 49721526 65374599 66295368 66608082 87166132 88810776 99443052 130749198 133216164 174332264 196123797 198886104 261498396 266432328 392247594 522996792 588371391 784495188 1176742782 1568990376 1765114173 2353485564 3530228346 4706971128 7060456692 14120913384