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1934021457481 = 31211323972
BaseRepresentation
bin11100001001001100101…
…010010111011001001001
320211220001021120121200011
4130021030222113121021
5223141333443114411
64040251023511521
7256504566101161
oct34111452273111
96756037517604
101934021457481
116862397692a3
122729aba585a1
131104ba312079
146986ddb55a1
153549597ec21
hex1c24ca97649

1934021457481 has 27 divisors (see below), whose sum is σ = 2021354951733. Its totient is φ = 1850397816960.

The previous prime is 1934021457461. The next prime is 1934021457491. The reversal of 1934021457481 is 1847541204391.

The square root of 1934021457481 is 1390691.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 410228721081 + 1523792736400 = 640491^2 + 1234420^2 .

It is not a de Polignac number, because 1934021457481 - 213 = 1934021449289 is a prime.

It is a super-2 number, since 2×19340214574812 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1934021457421) 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 26 ways as a sum of consecutive naturals, for example, 4871590375 + ... + 4871590771.

Almost surely, 21934021457481 is an apocalyptic number.

1934021457481 is the 1390691-st square number.

1934021457481 is the 695346-th centered octagonal number.

It is an amenable number.

1934021457481 is a deficient number, since it is larger than the sum of its proper divisors (87333494252).

1934021457481 is an frugal number, since it uses more digits than its factorization.

1934021457481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1082 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 49.

Multiplying 1934021457481 by its sum of digits (49), we get a square (94767051416569 = 97348372).

The spelling of 1934021457481 in words is "one trillion, nine hundred thirty-four billion, twenty-one million, four hundred fifty-seven thousand, four hundred eighty-one".

Divisors: 1 31 113 397 961 3503 12307 12769 44861 108593 157609 381517 395839 1390691 4885879 5069293 12271009 17809817 43111421 151462249 157148083 552104327 2012509321 4871590573 17115234137 62387788951 1934021457481