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14391137432 = 2371741675503
BaseRepresentation
bin11010110011100011…
…10101010010011000
31101010221110112021002
431121301311102120
5213433112344212
610340004004132
71016424435620
oct153161652230
941127415232
1014391137432
116115470611
122957690648
131484669549
149a7411880
15593645ac2
hex359c75498

14391137432 has 128 divisors (see below), whose sum is σ = 33953955840. Its totient is φ = 5577707520.

The previous prime is 14391137417. The next prime is 14391137477. The reversal of 14391137432 is 23473119341.

14391137432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 2612393 + ... + 2617895.

It is an arithmetic number, because the mean of its divisors is an integer number (265265280).

Almost surely, 214391137432 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 14391137432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16976977920).

14391137432 is an abundant number, since it is smaller than the sum of its proper divisors (19562818408).

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

14391137432 is a wasteful number, since it uses less digits than its factorization.

14391137432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5641 (or 5637 counting only the distinct ones).

The product of its digits is 54432, while the sum is 38.

The spelling of 14391137432 in words is "fourteen billion, three hundred ninety-one million, one hundred thirty-seven thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 17 28 34 41 56 67 68 82 119 134 136 164 238 268 287 328 469 476 536 574 697 938 952 1139 1148 1394 1876 2278 2296 2747 2788 3752 4556 4879 5494 5503 5576 7973 9112 9758 10988 11006 15946 19229 19516 21976 22012 31892 38458 38521 39032 44024 46699 63784 76916 77042 93398 93551 153832 154084 186796 187102 225623 308168 326893 368701 373592 374204 451246 653786 654857 737402 748408 902492 1307572 1309714 1474804 1579361 1804984 2580907 2615144 2619428 2949608 3158722 3835591 5161814 5238856 6267917 6317444 7671182 10323628 12535834 12634888 15116741 15342364 20647256 25071668 26849137 30233482 30684728 43875419 50143336 53698274 60466964 87750838 105817187 107396548 120933928 175501676 211634374 214793096 256984597 351003352 423268748 513969194 846537496 1027938388 1798892179 2055876776 3597784358 7195568716 14391137432