Search a number
-
+
323212021130144 = 25294094273199289
BaseRepresentation
bin100100101111101011010100…
…1101101001110001110100000
31120101101202201110211201220202
41021133112221231032032200
5314331001204402131034
63103225315214324332
7125036204121603536
oct11137265155161640
91511352643751822
10323212021130144
1193a924a2898433
12303007a3ab96a8
1310b469bbb8a073
1459b578c3ca156
15275774690447e
hex125f5a9b4e3a0

323212021130144 has 96 divisors (see below), whose sum is σ = 660033054954000. Its totient is φ = 155614682087424.

The previous prime is 323212021130143. The next prime is 323212021130149. The reversal of 323212021130144 is 441031120212323.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 176181554755600 + 147030466374544 = 13273340^2 + 12125612^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (323212021130143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1621726052 + ... + 1621925340.

Almost surely, 2323212021130144 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 323212021130144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330016527477000).

323212021130144 is an abundant number, since it is smaller than the sum of its proper divisors (336821033823856).

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

323212021130144 is a wasteful number, since it uses less digits than its factorization.

323212021130144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204010 (or 204002 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

Adding to 323212021130144 its reverse (441031120212323), we get a palindrome (764243141342467).

The spelling of 323212021130144 in words is "three hundred twenty-three trillion, two hundred twelve billion, twenty-one million, one hundred thirty thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 29 32 58 116 232 409 464 818 928 1636 3272 4273 6544 8546 11861 13088 17092 23722 34184 47444 68368 94888 123917 136736 189776 199289 247834 379552 398578 495668 797156 991336 1594312 1747657 1982672 3188624 3495314 3965344 5779381 6377248 6990628 11558762 13981256 23117524 27962512 46235048 50682053 55925024 81509201 92470096 101364106 163018402 184940192 202728212 326036804 405456424 652073608 810912848 851561897 1304147216 1621825696 1703123794 2363766829 2608294432 3406247588 4727533658 6812495176 9455067316 13624990352 18910134632 24695295013 27249980704 37820269264 49390590026 75640538528 98781180052 197562360104 348288815873 395124720208 696577631746 790249440416 1393155263492 2786310526984 5572621053968 10100375660317 11145242107936 20200751320634 40401502641268 80803005282536 161606010565072 323212021130144