Search a number
-
+
13612321702144 = 28112209632
BaseRepresentation
bin1100011000010101110110…
…0110011000000100000000
31210012022210002210220111101
43012011131212120010000
53241011013323432034
644541225251424144
72603313010241314
oct306053546300400
953168702726441
1013612321702144
114378a53801500
12163a1aabb5054
13779837306329
14350ba8909b44
1518914b11e514
hexc615d998100

13612321702144 has 81 divisors (see below), whose sum is σ = 29867586315679. Its totient is φ = 6187123796480.

The previous prime is 13612321702123. The next prime is 13612321702151. The reversal of 13612321702144 is 44120712321631.

The square root of 13612321702144 is 3689488.

It is a perfect power (a square), and thus also a powerful number.

It is a super-5 number, since 5×136123217021445 (a number of 67 digits) contains 55555 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 649339407 + ... + 649360369.

Almost surely, 213612321702144 is an apocalyptic number.

13612321702144 is the 3689488-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13612321702144

13612321702144 is an abundant number, since it is smaller than the sum of its proper divisors (16255264613535).

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

13612321702144 is an frugal number, since it uses more digits than its factorization.

13612321702144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41964 (or 20976 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The spelling of 13612321702144 in words is "thirteen trillion, six hundred twelve billion, three hundred twenty-one million, seven hundred two thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 352 484 704 968 1408 1936 2816 3872 7744 15488 20963 30976 41926 83852 167704 230593 335408 461186 670816 922372 1341632 1844744 2536523 2683264 3689488 5073046 5366528 7378976 10146092 14757952 20292184 29515904 40584368 59031808 81168736 162337472 324674944 439447369 649349888 878894738 1757789476 3515578952 4833921059 7031157904 9667842118 14062315808 19335684236 28124631616 38671368472 53173131649 56249263232 77342736944 106346263298 112498526464 154685473888 212692526596 309370947776 425385053192 618741895552 850770106384 1237483791104 1701540212768 3403080425536 6806160851072 13612321702144