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140224210431021 = 3414295849207121
BaseRepresentation
bin11111111000100001111110…
…010000000110110000101101
3200101111022012022201112220000
4133320201332100012300231
5121334413140332243041
61214122040222414513
741351602440354063
oct3770417620066055
9611438168645800
10140224210431021
1140752832172622
1213888484431439
1360321177c5cb2
14268ac60944033
15113284816bbb6
hex7f887e406c2d

140224210431021 has 40 divisors (see below), whose sum is σ = 209654170011000. Its totient is φ = 93400966149120.

The previous prime is 140224210430963. The next prime is 140224210431023. The reversal of 140224210431021 is 120134012422041.

140224210431021 is a `hidden beast` number, since 1 + 4 + 0 + 2 + 242 + 104 + 310 + 2 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4228637013225 + 135995573417796 = 2056365^2 + 11661714^2 .

It is not a de Polignac number, because 140224210431021 - 218 = 140224210168877 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140224210431023) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 676912341 + ... + 677119461.

It is an arithmetic number, because the mean of its divisors is an integer number (5241354250275).

Almost surely, 2140224210431021 is an apocalyptic number.

It is an amenable number.

140224210431021 is a deficient number, since it is larger than the sum of its proper divisors (69429959579979).

140224210431021 is a wasteful number, since it uses less digits than its factorization.

140224210431021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214411 (or 214402 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 140224210431021 its reverse (120134012422041), we get a palindrome (260358222853062).

The spelling of 140224210431021 in words is "one hundred forty trillion, two hundred twenty-four billion, two hundred ten million, four hundred thirty-one thousand, twenty-one".

Divisors: 1 3 9 27 81 1429 4287 5849 12861 17547 38583 52641 115749 157923 207121 473769 621363 1864089 5592267 8358221 16776801 25074663 75223989 225671967 295975909 677015901 887927727 1211450729 2663783181 3634352187 7991349543 10903056561 23974048629 32709169683 98127509049 1731163091741 5193489275223 15580467825669 46741403477007 140224210431021