Search a number
-
+
2144111131524 = 223594317026463
BaseRepresentation
bin11111001100110110111…
…110110111101110000100
321120222022210100211221210
4133030312332313232010
5240112114422202044
64320554022411420
7310623033624405
oct37146676675604
97528283324853
102144111131524
1175734892298a
122a7662590b70
1312725ba8816b
1475ac00bd9ac
153ab8eac71b9
hex1f336fb7b84

2144111131524 has 48 divisors (see below), whose sum is σ = 5099526512640. Its totient is φ = 700959849120.

The previous prime is 2144111131489. The next prime is 2144111131559. The reversal of 2144111131524 is 4251311114412.

It is an interprime number because it is at equal distance from previous prime (2144111131489) and next prime (2144111131559).

It is a junction number, because it is equal to n+sod(n) for n = 2144111131491 and 2144111131500.

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, 3208084 + ... + 3818379.

It is an arithmetic number, because the mean of its divisors is an integer number (106240135680).

Almost surely, 22144111131524 is an apocalyptic number.

It is an amenable number.

2144111131524 is an abundant number, since it is smaller than the sum of its proper divisors (2955415381116).

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

2144111131524 is a wasteful number, since it uses less digits than its factorization.

2144111131524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7026960 (or 7026958 counting only the distinct ones).

The product of its digits is 3840, while the sum is 30.

Adding to 2144111131524 its reverse (4251311114412), we get a palindrome (6395422245936).

The spelling of 2144111131524 in words is "two trillion, one hundred forty-four billion, one hundred eleven million, one hundred thirty-one thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 12 59 118 177 236 354 431 708 862 1293 1724 2586 5172 25429 50858 76287 101716 152574 305148 7026463 14052926 21079389 28105852 42158778 84317556 414561317 829122634 1243683951 1658245268 2487367902 3028405553 4974735804 6056811106 9085216659 12113622212 18170433318 36340866636 178675927627 357351855254 536027782881 714703710508 1072055565762 2144111131524