Search a number
-
+
1023111561444 = 223767741179801
BaseRepresentation
bin11101110001101100011…
…00111000000011100100
310121210211101220101121020
432320312030320003210
5113230313024431234
62102002211251140
7133626441532440
oct16706614700344
93553741811536
101023111561444
113649988930a5
12146351ba9ab0
137562c4b899b
1437739a95820
151b930761549
hexee363380e4

1023111561444 has 48 divisors (see below), whose sum is σ = 2728352946816. Its totient is φ = 292311648000.

The previous prime is 1023111561431. The next prime is 1023111561473. The reversal of 1023111561444 is 4441651113201.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 5600344 + ... + 5780144.

It is an arithmetic number, because the mean of its divisors is an integer number (56840686392).

Almost surely, 21023111561444 is an apocalyptic number.

1023111561444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1023111561444 is an abundant number, since it is smaller than the sum of its proper divisors (1705241385372).

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

1023111561444 is a wasteful number, since it uses less digits than its factorization.

1023111561444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247556 (or 247554 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

Adding to 1023111561444 its reverse (4441651113201), we get a palindrome (5464762674645).

The spelling of 1023111561444 in words is "one trillion, twenty-three billion, one hundred eleven million, five hundred sixty-one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 67741 135482 179801 203223 270964 359602 406446 474187 539403 719204 812892 948374 1078806 1258607 1422561 1896748 2157612 2517214 2845122 3775821 5034428 5690244 7551642 15103284 12179899541 24359799082 36539698623 48719598164 73079397246 85259296787 146158794492 170518593574 255777890361 341037187148 511555780722 1023111561444