Search a number
-
+
13145050344 = 23323411035639
BaseRepresentation
bin11000011111000000…
…11000110011101000
31020221002201202010110
430033200120303220
5203410113102334
610012212014320
7643514040636
oct141740306350
936832652113
1013145050344
115636046978
12266a3013a0
1313164599ca
148c9b26356
1551e054ae9
hex30f818ce8

13145050344 has 128 divisors (see below), whose sum is σ = 35475148800. Its totient is φ = 4048535040.

The previous prime is 13145050339. The next prime is 13145050379. The reversal of 13145050344 is 44305054131.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2328277 + ... + 2333915.

It is an arithmetic number, because the mean of its divisors is an integer number (277149600).

Almost surely, 213145050344 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 13145050344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17737574400).

13145050344 is an abundant number, since it is smaller than the sum of its proper divisors (22330098456).

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

13145050344 is a wasteful number, since it uses less digits than its factorization.

13145050344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5815 (or 5811 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The spelling of 13145050344 in words is "thirteen billion, one hundred forty-five million, fifty thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 23 24 41 46 69 82 92 103 123 138 164 184 206 246 276 309 328 412 492 552 618 824 943 984 1236 1886 2369 2472 2829 3772 4223 4738 5639 5658 7107 7544 8446 9476 11278 11316 12669 14214 16892 16917 18952 22556 22632 25338 28428 33784 33834 45112 50676 56856 67668 97129 101352 129697 135336 194258 231199 259394 291387 388516 389091 462398 518788 580817 582774 693597 777032 778182 924796 1037576 1161634 1165548 1387194 1556364 1742451 1849592 2323268 2331096 2774388 3112728 3484902 4646536 5317577 5548776 6969804 10635154 13358791 13939608 15952731 21270308 23813497 26717582 31905462 40076373 42540616 47626994 53435164 63810924 71440491 80152746 95253988 106870328 127621848 142880982 160305492 190507976 285761964 320610984 547710431 571523928 1095420862 1643131293 2190841724 3286262586 4381683448 6572525172 13145050344