Search a number
-
+
1252252502214 = 237293730839013
BaseRepresentation
bin10010001110010000000…
…100001100100011000110
311102201021122000020202020
4102032100010030203012
5131004103120032324
62355135445024010
7156320661433440
oct22162004144306
94381248006666
101252252502214
1144309398941a
121828409b5006
1391118c0c37c
1444876081490
15228921bd679
hex1239010c8c6

1252252502214 has 128 divisors (see below), whose sum is σ = 3042341821440. Its totient is φ = 335966206464.

The previous prime is 1252252502201. The next prime is 1252252502231. The reversal of 1252252502214 is 4122052522521.

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, 138933972 + ... + 138942984.

It is an arithmetic number, because the mean of its divisors is an integer number (23768295480).

Almost surely, 21252252502214 is an apocalyptic number.

1252252502214 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1252252502214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1521170910720).

1252252502214 is an abundant number, since it is smaller than the sum of its proper divisors (1790089319226).

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

1252252502214 is a wasteful number, since it uses less digits than its factorization.

1252252502214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12174.

The product of its (nonzero) digits is 32000, while the sum is 33.

The spelling of 1252252502214 in words is "one trillion, two hundred fifty-two billion, two hundred fifty-two million, five hundred two thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 14 21 29 37 42 58 74 87 111 174 203 222 259 406 518 609 777 1073 1218 1554 2146 3083 3219 6166 6438 7511 9013 9249 15022 18026 18498 21581 22533 27039 43162 45066 54078 63091 64743 89407 114071 126182 129486 178814 189273 228142 261377 268221 333481 342213 378546 522754 536442 625849 666962 684426 784131 798497 1000443 1251698 1568262 1596994 1829639 1877547 2000886 2334367 2395491 3308059 3659278 3755094 4668734 4790982 5488917 6616118 7003101 9670949 9924177 10977834 14006202 19341898 19848354 23156413 27787079 29012847 46312826 55574158 58025694 67696643 69469239 83361237 135393286 138938478 166722474 194509553 203089929 389019106 406179858 583528659 805825291 1028121923 1167057318 1611650582 2056243846 2417475873 3084365769 4834951746 5640777037 6168731538 7196853461 11281554074 14393706922 16922331111 21590560383 29815535767 33844662222 43181120766 59631071534 89446607301 178893214602 208708750369 417417500738 626126251107 1252252502214