Search a number
-
+
321044133344440 = 235111019716040979
BaseRepresentation
bin100100011111111001110100…
…1100001100111010010111000
31120002201112000122111201010111
41020333303221201213102320
5314034441341114010230
63054445345551354104
7124423446623505502
oct11077635141472270
91502645018451114
10321044133344440
1193327063740330
1230010606822934
1310a1a44117517c
14593c89460cd72
15271b16475792a
hex123fce98674b8

321044133344440 has 64 divisors (see below), whose sum is σ = 788790743568000. Its totient is φ = 116628754496640.

The previous prime is 321044133344401. The next prime is 321044133344477. The reversal of 321044133344440 is 44443331440123.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 321044133344393 and 321044133344402.

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, 357572130 + ... + 358468849.

It is an arithmetic number, because the mean of its divisors is an integer number (12324855368250).

Almost surely, 2321044133344440 is an apocalyptic number.

It is an amenable number.

321044133344440 is an abundant number, since it is smaller than the sum of its proper divisors (467746610223560).

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

321044133344440 is a wasteful number, since it uses less digits than its factorization.

321044133344440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 716042020 (or 716042016 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 40.

Adding to 321044133344440 its reverse (44443331440123), we get a palindrome (365487464784563).

The spelling of 321044133344440 in words is "three hundred twenty-one trillion, forty-four billion, one hundred thirty-three million, three hundred forty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 1019 2038 4076 5095 8152 10190 11209 20380 22418 40760 44836 56045 89672 112090 224180 448360 716040979 1432081958 2864163916 3580204895 5728327832 7160409790 7876450769 14320819580 15752901538 28641639160 31505803076 39382253845 63011606152 78764507690 157529015380 315058030760 729645757601 1459291515202 2918583030404 3648228788005 5837166060808 7296457576010 8026103333611 14592915152020 16052206667222 29185830304040 32104413334444 40130516668055 64208826668888 80261033336110 160522066672220 321044133344440