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144310222013441 = 112101109264740927
BaseRepresentation
bin100000110011111111010111…
…100001010100010000000001
3200220221220220111101100120212
4200303333113201110100001
5122403334313313412231
61230531111211243505
742253032554640161
oct4063772741242001
9626856814340525
10144310222013441
1141a88692192100
1214228355449595
13626a51b0191a3
14278c91b1a45a1
1511a3c9026a42b
hex833fd7854401

144310222013441 has 48 divisors (see below), whose sum is σ = 161727175357440. Its totient is φ = 128648752848000.

The previous prime is 144310222013387. The next prime is 144310222013467.

144310222013441 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2k-144310222013441 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 144310222013398 and 144310222013407.

It is not an unprimeable number, because it can be changed into a prime (144310222013641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3526019120 + ... + 3526060046.

It is an arithmetic number, because the mean of its divisors is an integer number (3369316153280).

Almost surely, 2144310222013441 is an apocalyptic number.

144310222013441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

144310222013441 is a deficient number, since it is larger than the sum of its proper divisors (17416953343999).

144310222013441 is a wasteful number, since it uses less digits than its factorization.

144310222013441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43806 (or 43795 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The spelling of 144310222013441 in words is "one hundred forty-four trillion, three hundred ten billion, two hundred twenty-two million, thirteen thousand, four hundred forty-one".

Divisors: 1 11 101 109 121 1111 1199 2647 11009 12221 13189 29117 40927 121099 267347 288523 320287 450197 1332089 2940817 3173753 4133627 4461043 4952167 29140823 32348987 34911283 45469897 49071473 108333769 320549053 450565343 500168867 539786203 1191671459 3526039583 4956218773 10941710669 11808380821 13108386049 54518406503 120358817359 129892189031 1192646462921 1323946990949 1428814079341 13119111092131 144310222013441