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14112034419901 = 111931374110091423
BaseRepresentation
bin1100110101011011011011…
…0011000111010010111101
31211222002121221110011120211
43031112312303013102331
53322202421302414101
650002551253312421
72654363240250265
oct315266663072275
954862557404524
1014112034419901
114550975591560
1216bb00b935711
137b49b3a89bc2
1436b05190a7a5
15197146906c51
hexcd5b6cc74bd

14112034419901 has 128 divisors (see below), whose sum is σ = 17628910387200. Its totient is φ = 11145931776000.

The previous prime is 14112034419881. The next prime is 14112034419941. The reversal of 14112034419901 is 10991443021141.

It is a cyclic number.

It is not a de Polignac number, because 14112034419901 - 27 = 14112034419773 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14112034419941) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9917100076 + ... + 9917101498.

It is an arithmetic number, because the mean of its divisors is an integer number (137725862400).

Almost surely, 214112034419901 is an apocalyptic number.

14112034419901 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14112034419901 is a deficient number, since it is larger than the sum of its proper divisors (3516875967299).

14112034419901 is a wasteful number, since it uses less digits than its factorization.

14112034419901 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2571.

The product of its (nonzero) digits is 31104, while the sum is 40.

The spelling of 14112034419901 in words is "fourteen trillion, one hundred twelve billion, thirty-four million, four hundred nineteen thousand, nine hundred one".

Divisors: 1 11 19 31 37 41 209 341 407 451 589 703 779 1009 1147 1271 1423 1517 6479 7733 8569 11099 12617 13981 15653 16687 19171 21793 24149 27037 28823 31279 37333 41369 44113 47027 52651 58343 210881 239723 265639 297407 317053 344069 410663 455059 485243 517297 579161 594301 641773 709327 786011 838147 893513 1000369 1108517 1157323 1282439 1435807 1530653 1632181 1808633 2158691 6537311 7802597 8646121 9219617 9828643 11004059 12193687 12730553 14106829 15793877 16837183 17953991 19894963 21989137 23745601 24366341 27280333 29082407 31011439 34364027 41015129 44510017 47450243 53124859 58868087 66919421 241880507 268029751 300083663 319906477 341125829 378004297 451166419 489610187 521952673 584373449 647548957 736113631 845690323 901554617 1009372321 1118493653 1271468999 1646870629 1824910697 2178119219 9302593553 9917100787 11103095531 12303430183 13986158989 18115576919 20074017667 23959311409 31290541951 34673303243 41384265161 67521695789 344195961461 381406335673 455226916771 742738653679 1282912219991 14112034419901