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55804140441 = 327416072
BaseRepresentation
bin110011111110001011…
…111001101110011001
312100001002100001111100
4303332023321232121
51403241324443231
641345220222013
74013610240000
oct637613715631
9170032301440
1055804140441
1121736a89735
12a99483a909
1353543a0c5a
1429b5517c37
1516b91e01e6
hexcfe2f9b99

55804140441 has 45 divisors (see below), whose sum is σ = 94093267541. Its totient is φ = 31868237016.

The previous prime is 55804140433. The next prime is 55804140467. The reversal of 55804140441 is 14404140855.

The square root of 55804140441 is 236229.

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

It is not a de Polignac number, because 55804140441 - 23 = 55804140433 is a prime.

It is a super-2 number, since 2×558041404412 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 55804140396 and 55804140405.

It is not an unprimeable number, because it can be changed into a prime (55804140421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 34724860 + ... + 34726466.

Almost surely, 255804140441 is an apocalyptic number.

55804140441 is the 236229-th square number.

55804140441 is the 118115-th centered octagonal number.

It is an amenable number.

55804140441 is a deficient number, since it is larger than the sum of its proper divisors (38289127100).

55804140441 is an frugal number, since it uses more digits than its factorization.

55804140441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3248 (or 1617 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

Multiplying 55804140441 by its sum of digits (36), we get a square (2008949055876 = 14173742).

The spelling of 55804140441 in words is "fifty-five billion, eight hundred four million, one hundred forty thousand, four hundred forty-one".

Divisors: 1 3 7 9 21 49 63 147 343 441 1029 1607 2401 3087 4821 7203 11249 14463 21609 33747 78743 101241 236229 551201 708687 1653603 2582449 3858407 4960809 7747347 11575221 18077143 23242041 34725663 54231429 126540001 162694287 379620003 885780007 1138860009 2657340021 6200460049 7972020063 18601380147 55804140441