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3202004100144 = 2431031283504797
BaseRepresentation
bin101110100110000110010…
…100010010010000110000
3102100002221011121210111210
4232212012110102100300
5404430201022201034
610450551432240120
7450223434530463
oct56460624222060
912302834553453
103202004100144
111024a64924a93
124386a0840040
131a2c42100745
14b0d9921d2da
1558458ada8e9
hex2e986512430

3202004100144 has 80 divisors (see below), whose sum is σ = 8358679510272. Its totient is φ = 1056146306304.

The previous prime is 3202004100121. The next prime is 3202004100187. The reversal of 3202004100144 is 4410014002023.

It is a self number, because there is not a number n which added to its sum of digits gives 3202004100144.

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, 6090754 + ... + 6595550.

Almost surely, 23202004100144 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 3202004100144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4179339755136).

3202004100144 is an abundant number, since it is smaller than the sum of its proper divisors (5156675410128).

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

3202004100144 is a wasteful number, since it uses less digits than its factorization.

3202004100144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506194 (or 506188 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 3202004100144 its reverse (4410014002023), we get a palindrome (7612018102167).

The spelling of 3202004100144 in words is "three trillion, two hundred two billion, four million, one hundred thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 103 206 309 412 618 824 1236 1283 1648 2472 2566 3849 4944 5132 7698 10264 15396 20528 30792 61584 132149 264298 396447 504797 528596 792894 1009594 1057192 1514391 1585788 2019188 2114384 3028782 3171576 4038376 6057564 6343152 8076752 12115128 24230256 51994091 103988182 155982273 207976364 311964546 415952728 623929092 647654551 831905456 1247858184 1295309102 1942963653 2495716368 2590618204 3885927306 5181236408 7771854612 10362472816 15543709224 31087418448 66708418753 133416837506 200125256259 266833675012 400250512518 533667350024 800501025036 1067334700048 1601002050072 3202004100144