Search a number
-
+
13124452402304 = 273722481123269
BaseRepresentation
bin1011111011111100011001…
…0100101100010010000000
31201110200111122122121111222
42332333012110230102000
53210012334303333204
643525142403254212
72523132110513465
oct276770624542200
951420448577458
1013124452402304
11420005a255641
12157b73467a368
13742827422459
1433532680766c
1517b5e5477abe
hexbefc652c480

13124452402304 has 64 divisors (see below), whose sum is σ = 26854440996600. Its totient is φ = 6384532930560.

The previous prime is 13124452402297. The next prime is 13124452402357. The reversal of 13124452402304 is 40320425442131.

It can be written as a sum of positive squares in 4 ways, for example, as 11665285040704 + 1459167361600 = 3415448^2 + 1207960^2 .

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

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, 106408382 + ... + 106531650.

Almost surely, 213124452402304 is an apocalyptic number.

It is an amenable number.

13124452402304 is an abundant number, since it is smaller than the sum of its proper divisors (13729988594296).

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

13124452402304 is a wasteful number, since it uses less digits than its factorization.

13124452402304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145801 (or 145789 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 35.

Adding to 13124452402304 its reverse (40320425442131), we get a palindrome (53444877844435).

The spelling of 13124452402304 in words is "thirteen trillion, one hundred twenty-four billion, four hundred fifty-two million, four hundred two thousand, three hundred four".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 296 592 1184 2368 4736 22481 44962 89924 123269 179848 246538 359696 493076 719392 831797 986152 1438784 1663594 1972304 2877568 3327188 3944608 4560953 6654376 7889216 9121906 13308752 15778432 18243812 26617504 36487624 53235008 72975248 106470016 145950496 291900992 583801984 2771210389 5542420778 11084841556 22169683112 44339366224 88678732448 102534784393 177357464896 205069568786 354714929792 410139137572 820278275144 1640556550288 3281113100576 6562226201152 13124452402304