Search a number
-
+
2242143341440 = 2756763518017
BaseRepresentation
bin100000101000001010001…
…010000100101110000000
321221100100211021002200021
4200220022022010232000
5243213402143411230
64434005413103224
7320663254642522
oct40501212045600
97840324232607
102242143341440
11794984511192
12302661327b14
131335829ba372
147a73da6ba12
153d4cb1b2c7a
hex20a0a284b80

2242143341440 has 64 divisors (see below), whose sum is σ = 5360926840560. Its totient is φ = 896722993152.

The previous prime is 2242143341423. The next prime is 2242143341489. The reversal of 2242143341440 is 441433412422.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 2242143341396 and 2242143341405.

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, 4069312 + ... + 4587328.

Almost surely, 22242143341440 is an apocalyptic number.

2242143341440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2242143341440 is an abundant number, since it is smaller than the sum of its proper divisors (3118783499120).

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

2242143341440 is an equidigital number, since it uses as much as digits as its factorization.

2242143341440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524799 (or 524787 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 34.

Adding to 2242143341440 its reverse (441433412422), we get a palindrome (2683576753862).

The spelling of 2242143341440 in words is "two trillion, two hundred forty-two billion, one hundred forty-three million, three hundred forty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 6763 13526 27052 33815 54104 67630 108208 135260 216416 270520 432832 518017 541040 865664 1036034 1082080 2072068 2164160 2590085 4144136 4328320 5180170 8288272 10360340 16576544 20720680 33153088 41441360 66306176 82882720 165765440 331530880 3503348971 7006697942 14013395884 17516744855 28026791768 35033489710 56053583536 70066979420 112107167072 140133958840 224214334144 280267917680 448428668288 560535835360 1121071670720 2242143341440