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14067275376 = 24371126914149
BaseRepresentation
bin11010001100111100…
…11001011001110000
31100022101001122001010
431012132121121300
5212302210303001
610243514310520
71005412603440
oct150636313160
940271048033
1014067275376
115a69679220
122887128440
1314325354ab
149763ca120
15574ec18d6
hex346799670

14067275376 has 160 divisors (see below), whose sum is σ = 45479232000. Its totient is φ = 3639997440.

The previous prime is 14067275363. The next prime is 14067275399. The reversal of 14067275376 is 67357276041.

14067275376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 987150 + ... + 1001298.

It is an arithmetic number, because the mean of its divisors is an integer number (284245200).

Almost surely, 214067275376 is an apocalyptic number.

14067275376 is a gapful number since it is divisible by the number (16) 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 14067275376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22739616000).

14067275376 is an abundant number, since it is smaller than the sum of its proper divisors (31411956624).

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

14067275376 is a wasteful number, since it uses less digits than its factorization.

14067275376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14447 (or 14441 counting only the distinct ones).

The product of its (nonzero) digits is 1481760, while the sum is 48.

The spelling of 14067275376 in words is "fourteen billion, sixty-seven million, two hundred seventy-five thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 154 168 176 231 264 269 308 336 462 528 538 616 807 924 1076 1232 1614 1848 1883 2152 2959 3228 3696 3766 4304 5649 5918 6456 7532 8877 11298 11836 12912 14149 15064 17754 20713 22596 23672 28298 30128 35508 41426 42447 45192 47344 56596 62139 71016 82852 84894 90384 99043 113192 124278 142032 155639 165704 169788 198086 226384 248556 297129 311278 331408 339576 396172 466917 497112 594258 622556 679152 792344 933834 994224 1089473 1188516 1245112 1584688 1867668 2178946 2377032 2490224 3268419 3735336 3806081 4357892 4754064 6536838 7470672 7612162 8715784 11418243 13073676 15224324 17431568 22836486 26147352 26642567 30448648 41866891 45672972 52294704 53285134 60897296 79927701 83733782 91345944 106570268 125600673 159855402 167467564 182691888 213140536 251201346 293068237 319710804 334935128 426281072 502402692 586136474 639421608 669870256 879204711 1004805384 1172272948 1278843216 1758409422 2009610768 2344545896 3516818844 4689091792 7033637688 14067275376