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144331102233213 = 37231115327469553
BaseRepresentation
bin100000110100010010110100…
…000101000010001001111101
3200221000220210200012102100220
4200310102310011002021331
5122404210044132430323
61230544443143011553
742254402155610400
oct4064226405021175
9627026720172326
10144331102233213
1141a96527563285
1214230402139bb9
13626c497b8310c
14278d93c337d37
1511a45b34070e3
hex8344b414227d

144331102233213 has 48 divisors (see below), whose sum is σ = 231282217345536. Its totient is φ = 79745208238080.

The previous prime is 144331102233209. The next prime is 144331102233217. The reversal of 144331102233213 is 312332201133441.

It is an interprime number because it is at equal distance from previous prime (144331102233209) and next prime (144331102233217).

It is not a de Polignac number, because 144331102233213 - 22 = 144331102233209 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144331102233217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8480556 + ... + 18988997.

It is an arithmetic number, because the mean of its divisors is an integer number (4818379528032).

Almost surely, 2144331102233213 is an apocalyptic number.

It is an amenable number.

144331102233213 is a deficient number, since it is larger than the sum of its proper divisors (86951115112323).

144331102233213 is a wasteful number, since it uses less digits than its factorization.

144331102233213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27470754 (or 27470747 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 33.

Adding to 144331102233213 its reverse (312332201133441), we get a palindrome (456663303366654).

The spelling of 144331102233213 in words is "one hundred forty-four trillion, three hundred thirty-one billion, one hundred two million, two hundred thirty-three thousand, two hundred thirteen".

Divisors: 1 3 7 21 31 49 93 147 217 651 1153 1519 3459 4557 8071 24213 35743 56497 107229 169491 250201 750603 1751407 5254221 27469553 82408659 192286871 576860613 851556143 1346008097 2554668429 4038024291 5960893001 17882679003 31672394609 41726251007 95017183827 125178753021 221706762263 665120286789 981844232879 1551947335841 2945532698637 4655842007523 6872909630153 20618728890459 48110367411071 144331102233213