Search a number
-
+
424045540424 = 231124130765129
BaseRepresentation
bin1100010101110110001…
…01010111010001001000
31111112112110111101102002
412022323011113101020
523421421124243144
6522445343330132
742431146423262
oct6127305272110
91445473441362
10424045540424
1115392271a860
126a223bb0948
1330cab1c0c7c
1416749894b32
15b06c8d314e
hex62bb157448

424045540424 has 64 divisors (see below), whose sum is σ = 873815342400. Its totient is φ = 191320012800.

The previous prime is 424045540417. The next prime is 424045540447.

424045540424 is nontrivially palindromic in base 10.

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, 6478292 + ... + 6543420.

It is an arithmetic number, because the mean of its divisors is an integer number (13653364725).

Almost surely, 2424045540424 is an apocalyptic number.

424045540424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

424045540424 is an abundant number, since it is smaller than the sum of its proper divisors (449769801976).

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

424045540424 is a wasteful number, since it uses less digits than its factorization.

424045540424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65694 (or 65690 counting only the distinct ones).

The product of its (nonzero) digits is 409600, while the sum is 38.

It can be divided in two parts, 424045 and 540424, that added together give a palindrome (964469).

The spelling of 424045540424 in words is "four hundred twenty-four billion, forty-five million, five hundred forty thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 22 44 88 241 307 482 614 964 1228 1928 2456 2651 3377 5302 6754 10604 13508 21208 27016 65129 73987 130258 147974 260516 295948 521032 591896 716419 813857 1432838 1627714 2865676 3255428 5731352 6510856 15696089 19994603 31392178 39989206 62784356 79978412 125568712 159956824 172656979 219940633 345313958 439881266 690627916 879762532 1381255832 1759525064 4818699323 9637398646 19274797292 38549594584 53005692553 106011385106 212022770212 424045540424