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14055115120 = 2451732114813
BaseRepresentation
bin11010001011100000…
…00000100101110000
31100021112011211022021
431011300000211300
5212241102140440
610242401521224
71005204336004
oct150560004560
940245154267
1014055115120
115a62823022
122883043214
13142cb68587
14974942704
15573dbd84a
hex345c00970

14055115120 has 80 divisors (see below), whose sum is σ = 33029662752. Its totient is φ = 5561902080.

The previous prime is 14055115117. The next prime is 14055115127. The reversal of 14055115120 is 2151155041.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×140551151202 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14055115127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2917834 + ... + 2922646.

Almost surely, 214055115120 is an apocalyptic number.

14055115120 is a gapful number since it is divisible by the number (10) 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 14055115120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16514831376).

14055115120 is an abundant number, since it is smaller than the sum of its proper divisors (18974547632).

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

14055115120 is a wasteful number, since it uses less digits than its factorization.

14055115120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5210 (or 5204 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 25.

The spelling of 14055115120 in words is "fourteen billion, fifty-five million, one hundred fifteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 173 211 346 422 692 844 865 1055 1384 1688 1730 2110 2768 3376 3460 4220 4813 6920 8440 9626 13840 16880 19252 24065 36503 38504 48130 73006 77008 96260 146012 182515 192520 292024 365030 385040 584048 730060 832649 1015543 1460120 1665298 2031086 2920240 3330596 4062172 4163245 5077715 6661192 8124344 8326490 10155430 13322384 16248688 16652980 20310860 33305960 40621720 66611920 81243440 175688939 351377878 702755756 878444695 1405511512 1756889390 2811023024 3513778780 7027557560 14055115120