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14435432052012 = 2233318235238953
BaseRepresentation
bin1101001000010000001011…
…0011001011010100101100
31220010000101002011001122000
43102010002303023110230
53343002231101131022
650411313531052300
73016632314622546
oct322040263132454
956100332131560
1014435432052012
11466603a0760a4
121751824ba1090
1380934216a52a
1437c970286696
151a077326c6ac
hexd2102ccb52c

14435432052012 has 96 divisors (see below), whose sum is σ = 38679406940160. Its totient is φ = 4650932027520.

The previous prime is 14435432051947. The next prime is 14435432052047. The reversal of 14435432052012 is 21025023453441.

It is a happy number.

14435432052012 is a `hidden beast` number, since 1 + 4 + 43 + 54 + 32 + 0 + 520 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 135928 + ... + 5374880.

It is an arithmetic number, because the mean of its divisors is an integer number (402910488960).

Almost surely, 214435432052012 is an apocalyptic number.

14435432052012 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 14435432052012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19339703470080).

14435432052012 is an abundant number, since it is smaller than the sum of its proper divisors (24243974888148).

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

14435432052012 is a wasteful number, since it uses less digits than its factorization.

14435432052012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5239820 (or 5239812 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 14435432052012 in words is "fourteen trillion, four hundred thirty-five billion, four hundred thirty-two million, fifty-two thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 93 108 124 186 279 372 558 823 837 1116 1646 1674 2469 3292 3348 4938 7407 9876 14814 22221 25513 29628 44442 51026 76539 88884 102052 153078 229617 306156 459234 688851 918468 1377702 2755404 5238953 10477906 15716859 20955812 31433718 47150577 62867436 94301154 141451731 162407543 188602308 282903462 324815086 487222629 565806924 649630172 974445258 1461667887 1948890516 2923335774 4311658319 4385003661 5846671548 8623316638 8770007322 12934974957 17246633276 17540014644 25869949914 38804924871 51739899828 77609849742 116414774613 133661407889 155219699484 232829549226 267322815778 400984223667 465659098452 534645631556 801968447334 1202952671001 1603936894668 2405905342002 3608858013003 4811810684004 7217716026006 14435432052012