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14969111344 = 2411223379887
BaseRepresentation
bin11011111000011101…
…01000001100110000
31102122020000122102021
431330032220030300
5221124043030334
610513212001224
71036643230015
oct157416501460
942566018367
1014969111344
116391744a00
122a99160214
131547322745
14a200a370c
155c92623b4
hex37c3a8330

14969111344 has 120 divisors (see below), whose sum is σ = 33390362880. Its totient is φ = 6483818880.

The previous prime is 14969111341. The next prime is 14969111383. The reversal of 14969111344 is 44311196941.

It is a self number, because there is not a number n which added to its sum of digits gives 14969111344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14969111341) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16875669 + ... + 16876555.

It is an arithmetic number, because the mean of its divisors is an integer number (278253024).

Almost surely, 214969111344 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 14969111344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16695181440).

14969111344 is an abundant number, since it is smaller than the sum of its proper divisors (18421251536).

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

14969111344 is a wasteful number, since it uses less digits than its factorization.

14969111344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1319 (or 1302 counting only the distinct ones).

The product of its digits is 93312, while the sum is 43.

The spelling of 14969111344 in words is "fourteen billion, nine hundred sixty-nine million, one hundred eleven thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 16 22 23 44 46 88 92 121 176 184 242 253 368 379 484 506 758 887 968 1012 1516 1774 1936 2024 2783 3032 3548 4048 4169 5566 6064 7096 8338 8717 9757 11132 14192 16676 17434 19514 20401 22264 33352 34868 39028 40802 44528 45859 66704 69736 78056 81604 91718 95887 107327 139472 156112 163208 183436 191774 214654 224411 326416 336173 366872 383548 429308 448822 672346 733744 767096 858616 897644 1054757 1344692 1534192 1717232 1795288 2109514 2468521 2689384 3590576 3697903 4219028 4937042 5378768 7395806 7731979 8438056 9874084 14791612 15463958 16876112 19748168 29583224 30927916 39496336 40676933 59166448 61855832 81353866 85051769 123711664 162707732 170103538 325415464 340207076 650830928 680414152 935569459 1360828304 1871138918 3742277836 7484555672 14969111344