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14013534040 = 23511181175961
BaseRepresentation
bin11010000110100010…
…11000111101011000
31100011121221021210021
431003101120331120
5212144431042130
610234314400224
71004161034242
oct150321307530
940147837707
1014013534040
115a413025a0
122871130074
13142436a19c
1496d1db092
1557040837a
hex343458f58

14013534040 has 64 divisors (see below), whose sum is σ = 34587090720. Its totient is φ = 5067648000.

The previous prime is 14013534023. The next prime is 14013534043. The reversal of 14013534040 is 4043531041.

It is a junction number, because it is equal to n+sod(n) for n = 14013533996 and 14013534014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14013534043) 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, 8341 + ... + 167620.

Almost surely, 214013534040 is an apocalyptic number.

14013534040 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 14013534040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17293545360).

14013534040 is an abundant number, since it is smaller than the sum of its proper divisors (20573556680).

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

14013534040 is a wasteful number, since it uses less digits than its factorization.

14013534040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176164 (or 176160 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The spelling of 14013534040 in words is "fourteen billion, thirteen million, five hundred thirty-four thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 181 220 362 440 724 905 1448 1810 1991 3620 3982 7240 7964 9955 15928 19910 39820 79640 175961 351922 703844 879805 1407688 1759610 1935571 3519220 3871142 7038440 7742284 9677855 15484568 19355710 31848941 38711420 63697882 77422840 127395764 159244705 254791528 318489410 350338351 636978820 700676702 1273957640 1401353404 1751691755 2802706808 3503383510 7006767020 14013534040