Base | Representation |
---|---|
bin | 1001001110001110101001… |
… | …1001010011111000100000 |
3 | 1022220101020220000210021212 |
4 | 2103203222121103320200 |
5 | 2312113313130302034 |
6 | 33322135504405252 |
7 | 2064411011055536 |
oct | 223435231237040 |
9 | 38811226023255 |
10 | 10140055322144 |
11 | 325a411973540 |
12 | 1179264016828 |
13 | 58728431a1c7 |
14 | 270ad1c3c156 |
15 | 128b759412ce |
hex | 938ea653e20 |
10140055322144 has 96 divisors (see below), whose sum is σ = 22793607567360. Its totient is φ = 4395399148800.
The previous prime is 10140055322093. The next prime is 10140055322227. The reversal of 10140055322144 is 44122355004101.
It is a super-2 number, since 2×101400553221442 (a number of 27 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (32).
It is a self number, because there is not a number n which added to its sum of digits gives 10140055322144.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 787817 + ... + 4571735.
It is an arithmetic number, because the mean of its divisors is an integer number (237433412160).
Almost surely, 210140055322144 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 10140055322144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11396803783680).
10140055322144 is an abundant number, since it is smaller than the sum of its proper divisors (12653552245216).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10140055322144 is a wasteful number, since it uses less digits than its factorization.
10140055322144 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3784294 (or 3784286 counting only the distinct ones).
The product of its (nonzero) digits is 19200, while the sum is 32.
The spelling of 10140055322144 in words is "ten trillion, one hundred forty billion, fifty-five million, three hundred twenty-two thousand, one hundred forty-four".
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