Search a number
-
+
1404120721936 = 2459250212
BaseRepresentation
bin10100011011101100000…
…111011110101000010000
311222020021120212011021211
4110123230013132220100
5141001114401100221
62553013312025504
7203305264132432
oct24335407365020
94866246764254
101404120721936
114a15365a6709
121a8165232294
13a253c545c8a
144bd619c6652
15267cecce6e1
hex146ec1dea10

1404120721936 has 45 divisors (see below), whose sum is σ = 2767926588973. Its totient is φ = 690023577920.

The previous prime is 1404120721933. The next prime is 1404120722051. The reversal of 1404120721936 is 6391270214041.

The square root of 1404120721936 is 1184956.

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

It can be written as a sum of positive squares in only one way, i.e., 1272032088336 + 132088633600 = 1127844^2 + 363440^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1404120721933) 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 8 ways as a sum of consecutive naturals, for example, 279647106 + ... + 279652126.

Almost surely, 21404120721936 is an apocalyptic number.

1404120721936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1404120721936 is the 1184956-th square number.

It is an amenable number.

1404120721936 is a deficient number, since it is larger than the sum of its proper divisors (1363805867037).

1404120721936 is an frugal number, since it uses more digits than its factorization.

1404120721936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10168 (or 5082 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

Adding to 1404120721936 its reverse (6391270214041), we get a palindrome (7795390935977).

The spelling of 1404120721936 in words is "one trillion, four hundred four billion, one hundred twenty million, seven hundred twenty-one thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 16 59 118 236 472 944 3481 5021 6962 10042 13924 20084 27848 40168 55696 80336 296239 592478 1184956 2369912 4739824 17478101 25210441 34956202 50420882 69912404 100841764 139824808 201683528 279649616 403367056 1487416019 2974832038 5949664076 11899328152 23798656304 87757545121 175515090242 351030180484 702060360968 1404120721936