Search a number
-
+
111414055536 = 24327293811373
BaseRepresentation
bin110011111000011001…
…0111001001001110000
3101122120122012102220100
41213300302321021300
53311133444234121
6123103301512400
711022641563230
oct1476062711160
9348518172810
10111414055536
1143283369a53
1219714412700
13a67745a164
14556cd13cc0
152d71317026
hex19f0cb9270

111414055536 has 120 divisors (see below), whose sum is σ = 368636093280. Its totient is φ = 30734903808.

The previous prime is 111414055513. The next prime is 111414055553. The reversal of 111414055536 is 635550414111.

111414055536 is a `hidden beast` number, since 1 + 114 + 1 + 4 + 0 + 5 + 5 + 536 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 111414055536.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1876455 + ... + 1934918.

It is an arithmetic number, because the mean of its divisors is an integer number (3071967444).

Almost surely, 2111414055536 is an apocalyptic number.

111414055536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

111414055536 is an abundant number, since it is smaller than the sum of its proper divisors (257222037744).

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

111414055536 is a wasteful number, since it uses less digits than its factorization.

111414055536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3811423 (or 3811414 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

Adding to 111414055536 its reverse (635550414111), we get a palindrome (746964469647).

The spelling of 111414055536 in words is "one hundred eleven billion, four hundred fourteen million, fifty-five thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 29 36 42 48 56 58 63 72 84 87 112 116 126 144 168 174 203 232 252 261 336 348 406 464 504 522 609 696 812 1008 1044 1218 1392 1624 1827 2088 2436 3248 3654 4176 4872 7308 9744 14616 29232 3811373 7622746 11434119 15245492 22868238 26679611 30490984 34302357 45736476 53359222 60981968 68604714 80038833 91472952 106718444 110529817 137209428 160077666 182945904 213436888 221059634 240116499 274418856 320155332 331589451 426873776 442119268 480232998 548837712 640310664 663178902 773708719 884238536 960465996 994768353 1280621328 1326357804 1547417438 1768477072 1920931992 1989536706 2321126157 2652715608 3094834876 3841863984 3979073412 4642252314 5305431216 6189669752 6963378471 7958146824 9284504628 12379339504 13926756942 15916293648 18569009256 27853513884 37138018512 55707027768 111414055536