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114314040042 = 23237173181883
BaseRepresentation
bin110101001110110100…
…1011101001011101010
3101221001202000220202220
41222131221131023222
53333103343240132
6124303134334510
711154544210446
oct1523551351352
9357052026686
10114314040042
1144531328264
121a1a365a436
13aa1a1c3b17
145766123826
152e90c01a2c
hex1a9da5d2ea

114314040042 has 128 divisors (see below), whose sum is σ = 246876844032. Its totient is φ = 35206617600.

The previous prime is 114314040041. The next prime is 114314040067. The reversal of 114314040042 is 240040413411.

It is a junction number, because it is equal to n+sod(n) for n = 114314039994 and 114314040021.

It is not an unprimeable number, because it can be changed into a prime (114314040041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 129460533 + ... + 129461415.

It is an arithmetic number, because the mean of its divisors is an integer number (1928725344).

Almost surely, 2114314040042 is an apocalyptic number.

114314040042 is an abundant number, since it is smaller than the sum of its proper divisors (132562803990).

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

114314040042 is a wasteful number, since it uses less digits than its factorization.

114314040042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1236.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 114314040042 its reverse (240040413411), we get a palindrome (354354453453).

The spelling of 114314040042 in words is "one hundred fourteen billion, three hundred fourteen million, forty thousand, forty-two".

Divisors: 1 2 3 6 23 46 69 71 73 138 142 146 181 213 219 362 426 438 543 883 1086 1633 1679 1766 2649 3266 3358 4163 4899 5037 5183 5298 8326 9798 10074 10366 12489 12851 13213 15549 20309 24978 25702 26426 31098 38553 39639 40618 60927 62693 64459 77106 79278 119209 121854 125386 128918 159823 188079 193377 238418 295573 303899 319646 357627 376158 386754 479469 591146 607798 715254 886719 911697 938123 958938 1441939 1482557 1773438 1823394 1876246 2814369 2883878 2965114 3675929 4325817 4447671 4576589 5628738 7351858 8651634 8895342 9153178 11027787 11347433 11667079 13729767 21576829 22055574 22694866 23334158 27459534 34042299 35001237 43153658 64730487 68084598 70002474 105261547 129460974 210523094 260990959 268342817 315784641 521981918 536685634 631569282 782972877 805028451 828362609 1565945754 1610056902 1656725218 2485087827 4970175654 19052340007 38104680014 57157020021 114314040042