Search a number
-
+
40414825984 = 291331195869
BaseRepresentation
bin100101101000111010…
…010100111000000000
310212022120121212202211
4211220322110320000
51130232143412414
630322153551504
72630342232001
oct455072247000
9125276555684
1040414825984
111615a12aa35
1279baa15594
133a70cb5220
141d557111a8
1510b81283c4
hex968e94e00

40414825984 has 80 divisors (see below), whose sum is σ = 89768004480. Its totient is φ = 18051194880.

The previous prime is 40414825963. The next prime is 40414826047. The reversal of 40414825984 is 48952841404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 108402 + ... + 304270.

It is an arithmetic number, because the mean of its divisors is an integer number (1122100056).

Almost surely, 240414825984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40414825984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44884002240).

40414825984 is an abundant number, since it is smaller than the sum of its proper divisors (49353178496).

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

40414825984 is a wasteful number, since it uses less digits than its factorization.

40414825984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195931 (or 195915 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 49.

The spelling of 40414825984 in words is "forty billion, four hundred fourteen million, eight hundred twenty-five thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 64 104 124 128 208 248 256 403 416 496 512 806 832 992 1612 1664 1984 3224 3328 3968 6448 6656 7936 12896 15872 25792 51584 103168 195869 206336 391738 783476 1566952 2546297 3133904 5092594 6071939 6267808 10185188 12143878 12535616 20370376 24287756 25071232 40740752 48575512 50142464 78935207 81481504 97151024 100284928 157870414 162963008 194302048 315740828 325926016 388604096 631481656 651852032 777208192 1262963312 1303704064 1554416384 2525926624 3108832768 5051853248 10103706496 20207412992 40414825984