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4225140415224 = 2332311892984057
BaseRepresentation
bin111101011110111101111…
…111100101101011111000
3112221220211022002210201100
4331132331333211223320
51023211041421241344
612553000330251400
7614153626651251
oct75367577455370
915856738083640
104225140415224
111389965684933
12582a3ab86b60
13248576775441
141086d82b9b28
1574d8b5db569
hex3d7bdfe5af8

4225140415224 has 48 divisors (see below), whose sum is σ = 11812220521920. Its totient is φ = 1362948520320.

The previous prime is 4225140415207. The next prime is 4225140415229.

4225140415224 is a `hidden beast` number, since 4 + 2 + 2 + 5 + 14 + 0 + 415 + 224 = 666.

4225140415224 is nontrivially palindromic in base 10.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4225140415229) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 946489797 + ... + 946494260.

It is an arithmetic number, because the mean of its divisors is an integer number (246087927540).

Almost surely, 24225140415224 is an apocalyptic number.

It is an amenable number.

4225140415224 is an abundant number, since it is smaller than the sum of its proper divisors (7587080106696).

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

4225140415224 is a wasteful number, since it uses less digits than its factorization.

4225140415224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1892984100 (or 1892984093 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 36.

The spelling of 4225140415224 in words is "four trillion, two hundred twenty-five billion, one hundred forty million, four hundred fifteen thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 372 558 744 1116 2232 1892984057 3785968114 5678952171 7571936228 11357904342 15143872456 17036856513 22715808684 34073713026 45431617368 58682505767 68147426052 117365011534 136294852104 176047517301 234730023068 352095034602 469460046136 528142551903 704190069204 1056285103806 1408380138408 2112570207612 4225140415224