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42202420224 = 210337371291
BaseRepresentation
bin100111010011011101…
…011101010000000000
311000221011022002001220
4213103131131100000
51142412304421344
631215412155040
73022546440006
oct472335352000
9130834262056
1042202420224
1116997190a48
128219608a80
133c974506b3
142084cb8a76
151170030c19
hex9d375d400

42202420224 has 88 divisors (see below), whose sum is σ = 115525278048. Its totient is φ = 13687234560.

The previous prime is 42202420213. The next prime is 42202420241.

42202420224 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 42202420194 and 42202420203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71982 + ... + 299309.

Almost surely, 242202420224 is an apocalyptic number.

It is an amenable number.

42202420224 is an abundant number, since it is smaller than the sum of its proper divisors (73322857824).

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

42202420224 is a wasteful number, since it uses less digits than its factorization.

42202420224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371351 (or 371333 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

The spelling of 42202420224 in words is "forty-two billion, two hundred two million, four hundred twenty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 148 192 222 256 296 384 444 512 592 768 888 1024 1184 1536 1776 2368 3072 3552 4736 7104 9472 14208 18944 28416 37888 56832 113664 371291 742582 1113873 1485164 2227746 2970328 4455492 5940656 8910984 11881312 13737767 17821968 23762624 27475534 35643936 41213301 47525248 54951068 71287872 82426602 95050496 109902136 142575744 164853204 190100992 219804272 285151488 329706408 380201984 439608544 570302976 659412816 879217088 1140605952 1318825632 1758434176 2637651264 3516868352 5275302528 7033736704 10550605056 14067473408 21101210112 42202420224