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14542005873912 = 23311478539137251
BaseRepresentation
bin1101001110011101001100…
…0110000010110011111000
31220111012110101121011012220
43103213103012002303320
53401224012000431122
650532301050004040
73030424314305556
oct323472306026370
956435411534186
1014542005873912
1146a725922a960
12176a408416620
138163c78a70ca
14383ba0406bd6
151a340e68b25c
hexd39d3182cf8

14542005873912 has 128 divisors (see below), whose sum is σ = 40508884684800. Its totient is φ = 4312373040000.

The previous prime is 14542005873821. The next prime is 14542005873929. The reversal of 14542005873912 is 21937850024541.

14542005873912 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×145420058739122 (a number of 27 digits) contains 22 as substring.

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, 105883287 + ... + 106020537.

It is an arithmetic number, because the mean of its divisors is an integer number (316475661600).

Almost surely, 214542005873912 is an apocalyptic number.

14542005873912 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 14542005873912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20254442342400).

14542005873912 is an abundant number, since it is smaller than the sum of its proper divisors (25966878810888).

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

14542005873912 is a wasteful number, since it uses less digits than its factorization.

14542005873912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145857 (or 145853 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 51.

The spelling of 14542005873912 in words is "fourteen trillion, five hundred forty-two billion, five million, eight hundred seventy-three thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 47 66 88 94 132 141 188 264 282 376 517 564 1034 1128 1551 2068 3102 4136 6204 8539 12408 17078 25617 34156 51234 68312 93929 102468 137251 187858 204936 274502 281787 375716 401333 411753 549004 563574 751432 802666 823506 1098008 1127148 1203999 1509761 1605332 1647012 2254296 2407998 3019522 3210664 3294024 4414663 4529283 4815996 6039044 6450797 8829326 9058566 9631992 12078088 12901594 13243989 17658652 18117132 19352391 25803188 26487978 35317304 36234264 38704782 51606376 52975956 70958767 77409564 105951912 141917534 154819128 212876301 283835068 425752602 567670136 851505204 1171986289 1703010408 2343972578 3515958867 4687945156 7031917734 9375890312 12891849179 14063835468 25783698358 28127670936 38675547537 51567396716 55083355583 77351095074 103134793432 110166711166 154702190148 165250066749 220333422332 309404380296 330500133498 440666844664 605916911413 661000266996 1211833822826 1322000533992 1817750734239 2423667645652 3635501468478 4847335291304 7271002936956 14542005873912