Search a number
-
+
420213242312024 = 23723449689725507
BaseRepresentation
bin101111110001011101000010…
…1000010011011010101011000
32001002211222211100202110100212
41133202322011002123111120
5420034233210012441044
64045415144251550252
7154340255606501030
oct13742720502332530
92032758740673325
10420213242312024
11111990487391957
123b16818475b388
1315061c284a2935
1475aa60258a8c0
15338aa9dca1a9e
hex17e2e8509b558

420213242312024 has 64 divisors (see below), whose sum is σ = 939610634457600. Its totient is φ = 172260708643584.

The previous prime is 420213242312009. The next prime is 420213242312033.

420213242312024 is nontrivially palindromic in base 10.

It is a congruent number.

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, 578836679 + ... + 579562185.

It is an arithmetic number, because the mean of its divisors is an integer number (14681416163400).

Almost surely, 2420213242312024 is an apocalyptic number.

It is an amenable number.

420213242312024 is an abundant number, since it is smaller than the sum of its proper divisors (519397392145576).

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

420213242312024 is a wasteful number, since it uses less digits than its factorization.

420213242312024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1175232 (or 1175228 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

The spelling of 420213242312024 in words is "four hundred twenty trillion, two hundred thirteen billion, two hundred forty-two million, three hundred twelve thousand, twenty-four".

Divisors: 1 2 4 7 8 14 23 28 46 56 92 161 184 322 644 1288 449689 725507 899378 1451014 1798756 2902028 3147823 3597512 5078549 5804056 6295646 10157098 10342847 12591292 16686661 20314196 20685694 25182584 33373322 40628392 41371388 66746644 72399929 82742776 116806627 133493288 144799858 233613254 289599716 467226508 579199432 934453016 326252517323 652505034646 1305010069292 2283767621261 2610020138584 4567535242522 7503807898429 9135070485044 15007615796858 18270140970088 30015231593716 52526655289003 60030463187432 105053310578006 210106621156012 420213242312024