Search a number
-
+
1314201174 = 23111343179199
BaseRepresentation
bin100111001010101…
…0001111001010110
310101120220100002120
41032111101321112
510142413414144
6334223520410
744365345206
oct11625217126
93346810076
101314201174
11614917880
12308159106
1317c36ab40
14c677a406
157a597e19
hex4e551e56

1314201174 has 128 divisors (see below), whose sum is σ = 3193344000. Its totient is φ = 355259520.

The previous prime is 1314201079. The next prime is 1314201191. The reversal of 1314201174 is 4711024131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6603927 + ... + 6604125.

It is an arithmetic number, because the mean of its divisors is an integer number (24948000).

Almost surely, 21314201174 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1314201174, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1596672000).

1314201174 is an abundant number, since it is smaller than the sum of its proper divisors (1879142826).

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

1314201174 is a wasteful number, since it uses less digits than its factorization.

1314201174 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450.

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 1314201174 is about 36251.9126943669. The cubic root of 1314201174 is about 1095.3526171967.

The spelling of 1314201174 in words is "one billion, three hundred fourteen million, two hundred one thousand, one hundred seventy-four".

Divisors: 1 2 3 6 11 13 22 26 33 39 43 66 78 86 129 143 179 199 258 286 358 398 429 473 537 559 597 858 946 1074 1118 1194 1419 1677 1969 2189 2327 2587 2838 3354 3938 4378 4654 5174 5907 6149 6567 6981 7697 7761 8557 11814 12298 13134 13962 15394 15522 17114 18447 23091 25597 25671 28457 35621 36894 46182 51194 51342 56914 71242 76791 84667 85371 94127 100061 106863 111241 153582 169334 170742 188254 200122 213726 222482 254001 282381 300183 333723 391831 463073 508002 564762 600366 667446 783662 926146 1100671 1175493 1223651 1389219 1531703 2201342 2350986 2447302 2778438 3063406 3302013 3670953 4595109 5093803 6604026 7341906 9190218 10187606 15281409 16848733 19912139 30562818 33697466 39824278 50546199 59736417 101092398 119472834 219033529 438067058 657100587 1314201174