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114035213556 = 223311313096427
BaseRepresentation
bin110101000110100000…
…1110100010011110100
3101220100022101001202000
41222031001310103310
53332021003313211
6124215334215300
711144620215315
oct1521501642364
9356308331660
10114035213556
11443a89a5850
121a1261b4530
13a9a44ca634
14573b0a260c
152e764c6656
hex1a8d0744f4

114035213556 has 96 divisors (see below), whose sum is σ = 332927938560. Its totient is φ = 33441400800.

The previous prime is 114035213543. The next prime is 114035213561. The reversal of 114035213556 is 655312530411.

114035213556 is a `hidden beast` number, since 1 + 1 + 40 + 3 + 52 + 13 + 556 = 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 114035213556.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1511386 + ... + 1585041.

It is an arithmetic number, because the mean of its divisors is an integer number (3467999360).

Almost surely, 2114035213556 is an apocalyptic number.

It is an amenable number.

114035213556 is an abundant number, since it is smaller than the sum of its proper divisors (218892725004).

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

114035213556 is a wasteful number, since it uses less digits than its factorization.

114035213556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3096482 (or 3096474 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

Adding to 114035213556 its reverse (655312530411), we get a palindrome (769347743967).

The spelling of 114035213556 in words is "one hundred fourteen billion, thirty-five million, two hundred thirteen thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 31 33 36 44 54 62 66 93 99 108 124 132 186 198 279 297 341 372 396 558 594 682 837 1023 1116 1188 1364 1674 2046 3069 3348 4092 6138 9207 12276 18414 36828 3096427 6192854 9289281 12385708 18578562 27867843 34060697 37157124 55735686 68121394 83603529 95989237 102182091 111471372 136242788 167207058 191978474 204364182 287967711 306546273 334414116 383956948 408728364 575935422 613092546 863903133 919638819 1055881607 1151870844 1226185092 1727806266 1839277638 2111763214 2591709399 3167644821 3455612532 3678555276 4223526428 5183418798 6335289642 9502934463 10366837596 12670579284 19005868926 28508803389 38011737852 57017606778 114035213556