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14141981535312 = 24319314211188151
BaseRepresentation
bin1100110111001010111111…
…0010010010110001010000
31212001221221000020020221110
43031302233302102301100
53323200234233112222
650024423040053320
72656503325445541
oct315625762226120
955057830206843
1014141981535312
114562642994614
121704989004240
137b77771c6937
1436c692d0a4c8
15197ceaa8630c
hexcdcafc92c50

14141981535312 has 160 divisors (see below), whose sum is σ = 39791115427840. Its totient is φ = 4311558720000.

The previous prime is 14141981535289. The next prime is 14141981535337. The reversal of 14141981535312 is 21353518914141.

14141981535312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 11308437 + ... + 12496587.

It is an arithmetic number, because the mean of its divisors is an integer number (248694471424).

Almost surely, 214141981535312 is an apocalyptic number.

14141981535312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14141981535312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19895557713920).

14141981535312 is an abundant number, since it is smaller than the sum of its proper divisors (25649133892528).

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

14141981535312 is a wasteful number, since it uses less digits than its factorization.

14141981535312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1188633 (or 1188627 counting only the distinct ones).

The product of its digits is 518400, while the sum is 48.

The spelling of 14141981535312 in words is "fourteen trillion, one hundred forty-one billion, nine hundred eighty-one million, five hundred thirty-five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 24 31 38 48 57 62 76 93 114 124 152 186 228 248 304 372 421 456 496 589 744 842 912 1178 1263 1488 1684 1767 2356 2526 3368 3534 4712 5052 6736 7068 7999 9424 10104 13051 14136 15998 20208 23997 26102 28272 31996 39153 47994 52204 63992 78306 95988 104408 127984 156612 191976 208816 247969 313224 383952 495938 626448 743907 991876 1188151 1487814 1983752 2376302 2975628 3564453 3967504 4752604 5951256 7128906 9505208 11902512 14257812 19010416 22574869 28515624 36832681 45149738 57031248 67724607 73665362 90299476 110498043 135449214 147330724 180598952 220996086 270898428 294661448 361197904 441992172 500211571 541796856 589322896 699820939 883984344 1000423142 1083593712 1399641878 1500634713 1767968688 2000846284 2099462817 2799283756 3001269426 4001692568 4198925634 5598567512 6002538852 8003385136 8397851268 9504019849 11197135024 12005077704 15506558701 16795702536 19008039698 24010155408 28512059547 31013117402 33591405072 38016079396 46519676103 57024119094 62026234804 76032158792 93039352206 114048238188 124052469608 152064317584 186078704412 228096476376 248104939216 294624615319 372157408824 456192952752 589249230638 744314817648 883873845957 1178498461276 1767747691914 2356996922552 3535495383828 4713993845104 7070990767656 14141981535312