Search a number
-
+
4048088480440 = 235598532010893
BaseRepresentation
bin111010111010000100111…
…000000011101010111000
3112022222211020122121200021
4322322010320003222320
51012310441122333230
612335355521020224
7565315256230414
oct72720470035270
915288736577607
104048088480440
11132086a460794
12554668784674
1323496b8304a4
14ddcddc47d44
1570477b18c7a
hex3ae84e03ab8

4048088480440 has 64 divisors (see below), whose sum is σ = 9273438770400. Its totient is φ = 1589923825152.

The previous prime is 4048088480431. The next prime is 4048088480441. The reversal of 4048088480440 is 440848808404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4048088480441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1007634 + ... + 3018526.

Almost surely, 24048088480440 is an apocalyptic number.

4048088480440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4048088480440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4636719385200).

4048088480440 is an abundant number, since it is smaller than the sum of its proper divisors (5225350289960).

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

4048088480440 is a wasteful number, since it uses less digits than its factorization.

4048088480440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2011816 (or 2011812 counting only the distinct ones).

The product of its (nonzero) digits is 4194304, while the sum is 52.

The spelling of 4048088480440 in words is "four trillion, forty-eight billion, eighty-eight million, four hundred eighty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 59 118 236 295 472 590 853 1180 1706 2360 3412 4265 6824 8530 17060 34120 50327 100654 201308 251635 402616 503270 1006540 2010893 2013080 4021786 8043572 10054465 16087144 20108930 40217860 80435720 118642687 237285374 474570748 593213435 949141496 1186426870 1715291729 2372853740 3430583458 4745707480 6861166916 8576458645 13722333832 17152917290 34305834580 68611669160 101202212011 202404424022 404808848044 506011060055 809617696088 1012022120110 2024044240220 4048088480440