Search a number
-
+
244452444254442 = 233791011314330927
BaseRepresentation
bin110111100101010000000101…
…000110101011000011101010
31012001112102111010221022012000
4313211100011012223003222
5224020102101212120232
62223523522542231430
7102330051311162454
oct6745200506530352
91161472433838160
10244452444254442
1170987776a12a26
1223500630b85576
13a6529c7241c08
1444517c07d12d4
151d3db808bd27c
hexde54051ab0ea

244452444254442 has 128 divisors (see below), whose sum is σ = 559791500083200. Its totient is φ = 79048061352000.

The previous prime is 244452444254209. The next prime is 244452444254453.

244452444254442 is a `hidden beast` number, since 2 + 4 + 4 + 4 + 52 + 4 + 4 + 4 + 2 + 544 + 42 = 666.

244452444254442 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 54277983 + ... + 58608909.

It is an arithmetic number, because the mean of its divisors is an integer number (4373371094400).

Almost surely, 2244452444254442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 244452444254442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279895750041600).

244452444254442 is an abundant number, since it is smaller than the sum of its proper divisors (315339055828758).

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

244452444254442 is a wasteful number, since it uses less digits than its factorization.

244452444254442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4331249 (or 4331243 counting only the distinct ones).

The product of its digits is 104857600, while the sum is 54.

The spelling of 244452444254442 in words is "two hundred forty-four trillion, four hundred fifty-two billion, four hundred forty-four million, two hundred fifty-four thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 79 101 131 158 202 237 262 303 393 474 606 711 786 909 1179 1422 1818 2133 2358 2727 3537 4266 5454 7074 7979 10349 13231 15958 20698 23937 26462 31047 39693 47874 62094 71811 79386 93141 119079 143622 186282 215433 238158 279423 357237 430866 558846 714474 1045249 2090498 3135747 4330927 6271494 8661854 9407241 12992781 18814482 25985562 28221723 38978343 56443446 77956686 116935029 233870058 342143233 437423627 567351437 684286466 874847254 1026429699 1134702874 1312270881 1702054311 2052859398 2624541762 3079289097 3404108622 3936812643 5106162933 6158578194 7873625286 9237867291 10212325866 11810437929 15318488799 18475734582 23620875858 30636977598 34556466533 44820763523 57302495137 69112933066 89641527046 103669399599 114604990274 134462290569 171907485411 207338799198 268924581138 311008198797 343814970822 403386871707 515722456233 622016397594 806773743414 933024596391 1031444912466 1210160615121 1547167368699 1866049192782 2420321230242 3094334737398 4526897115823 9053794231646 13580691347469 27161382694938 40742074042407 81484148084814 122226222127221 244452444254442