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114114444123043 = 7131719241145311087
BaseRepresentation
bin11001111100100101010110…
…111001111101101110100011
3112222001020022211001022011001
4121330211112321331232203
5104424122340143414133
61042411241340332431
733015332206521250
oct3174452671755643
9488036284038131
10114114444123043
11333a6733828331
1210970188544117
134b89c3b2081a0
142027250786427
15d2d5a2a1787d
hex67c956e7dba3

114114444123043 has 128 divisors (see below), whose sum is σ = 157308979322880. Its totient is φ = 80108337070080.

The previous prime is 114114444123023. The next prime is 114114444123047. The reversal of 114114444123043 is 340321444411411.

It is not a de Polignac number, because 114114444123043 - 29 = 114114444122531 is a prime.

It is a super-2 number, since 2×1141144441230432 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 114114444122993 and 114114444123011.

It is not an unprimeable number, because it can be changed into a prime (114114444123047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10292629446 + ... + 10292640532.

It is an arithmetic number, because the mean of its divisors is an integer number (1228976400960).

Almost surely, 2114114444123043 is an apocalyptic number.

114114444123043 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

114114444123043 is a deficient number, since it is larger than the sum of its proper divisors (43194535199837).

114114444123043 is a wasteful number, since it uses less digits than its factorization.

114114444123043 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12837.

The product of its (nonzero) digits is 73728, while the sum is 37.

Adding to 114114444123043 its reverse (340321444411411), we get a palindrome (454435888534454).

The spelling of 114114444123043 in words is "one hundred fourteen trillion, one hundred fourteen billion, four hundred forty-four million, one hundred twenty-three thousand, forty-three".

Divisors: 1 7 13 17 19 91 119 133 221 241 247 323 1453 1547 1687 1729 2261 3133 4097 4199 4579 10171 11087 18889 21931 24701 27607 28679 29393 32053 53261 59527 77609 77843 132223 144131 172907 188479 193249 210653 321113 350173 358891 372827 416689 469319 544901 1008917 1011959 1319353 1474571 2247791 2450227 2451211 2512237 2671967 2738489 3285233 3581101 4552249 5952941 6101147 6653287 7083713 16109411 17151589 18703769 19169423 25067707 31865743 34735571 41670587 42708029 45423439 46554313 46573009 50767373 77388233 86492731 112765877 113105879 209422343 243148997 273859987 306078809 317964073 325880191 355371611 541717631 590504707 605449117 659975849 791741153 863045341 1465956401 1470376427 1917019909 2142551663 3560179831 3882368051 3979024517 4133532949 4619830943 5203339753 6041317387 10292634989 11219589433 24921258817 27176576357 27853171619 36423378271 50470784663 66000256867 67643416789 73764992969 78537126031 353295492641 462001798069 473503917523 516354950783 858003339271 958944908597 1254004880473 6006023374897 6712614360179 8778034163311 16302063446149 114114444123043