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114011430243312 = 24373759155437349
BaseRepresentation
bin11001111011000101011010…
…110011001100101111110000
3112221200101102121021000011010
4121323011122303030233300
5104420430402120241222
61042252043351350520
733005024345141340
oct3173053263145760
9487611377230133
10114011430243312
1133366a81111838
1210954219382440
134b80302194774
14202227b348d20
15d2aa73de680c
hex67b15acccbf0

114011430243312 has 160 divisors (see below), whose sum is σ = 351561980736000. Its totient is φ = 31157105531904.

The previous prime is 114011430243299. The next prime is 114011430243329. The reversal of 114011430243312 is 213342034110411.

It is a super-2 number, since 2×1140114302433122 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 114011430243312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76985187 + ... + 78452162.

It is an arithmetic number, because the mean of its divisors is an integer number (2197262379600).

Almost surely, 2114011430243312 is an apocalyptic number.

114011430243312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

114011430243312 is an abundant number, since it is smaller than the sum of its proper divisors (237550550492688).

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

114011430243312 is a wasteful number, since it uses less digits than its factorization.

114011430243312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155437463 (or 155437457 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 114011430243312 its reverse (213342034110411), we get a palindrome (327353464353723).

The spelling of 114011430243312 in words is "one hundred fourteen trillion, eleven billion, four hundred thirty million, two hundred forty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 37 42 48 56 59 74 84 111 112 118 148 168 177 222 236 259 296 336 354 413 444 472 518 592 708 777 826 888 944 1036 1239 1416 1554 1652 1776 2072 2183 2478 2832 3108 3304 4144 4366 4956 6216 6549 6608 8732 9912 12432 13098 15281 17464 19824 26196 30562 34928 45843 52392 61124 91686 104784 122248 183372 244496 366744 733488 155437349 310874698 466312047 621749396 932624094 1088061443 1243498792 1865248188 2176122886 2486997584 3264184329 3730496376 4352245772 5751181913 6528368658 7460992752 8704491544 9170803591 11502363826 13056737316 17253545739 17408983088 18341607182 23004727652 26113474632 27512410773 34507091478 36683214364 40258273391 46009455304 52226949264 55024821546 64195625137 69014182956 73366428728 80516546782 92018910608 110049643092 120774820173 128391250274 138028365912 146732857456 161033093564 192586875411 220099286184 241549640346 256782500548 276056731824 322066187128 339319732867 385173750822 440198572368 483099280692 513565001096 644132374256 678639465734 770347501644 966198561384 1017959198601 1027130002192 1357278931468 1540695003288 1932397122768 2035918397202 2375238130069 2714557862936 3081390006576 4071836794404 4750476260138 5429115725872 7125714390207 8143673588808 9500952520276 14251428780414 16287347177616 19001905040552 28502857560828 38003810081104 57005715121656 114011430243312