Search a number
-
+
137411817481 = 2327122272
BaseRepresentation
bin111111111111001100…
…0011111000000001001
3111010200110120120210101
41333332120133000021
54222404411124411
6143043124045401
712633123114451
oct1777630370011
9433613516711
10137411817481
1153304430324
122276ab33861
13cc5b5c8c53
1469179c4d61
1538938c78c1
hex1ffe61f009

137411817481 has 27 divisors (see below), whose sum is σ = 146342348173. Its totient is φ = 129015295640.

The previous prime is 137411817449. The next prime is 137411817511. The reversal of 137411817481 is 184718114731.

The square root of 137411817481 is 370691.

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

It is not a de Polignac number, because 137411817481 - 25 = 137411817449 is a prime.

It is a super-2 number, since 2×1374118174812 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137411817421) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 605338290 + ... + 605338516.

Almost surely, 2137411817481 is an apocalyptic number.

137411817481 is the 370691-st square number.

137411817481 is the 185346-th centered octagonal number.

It is an amenable number.

137411817481 is a deficient number, since it is larger than the sum of its proper divisors (8930530692).

137411817481 is an frugal number, since it uses more digits than its factorization.

137411817481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642 (or 321 counting only the distinct ones).

The product of its digits is 150528, while the sum is 46.

The spelling of 137411817481 in words is "one hundred thirty-seven billion, four hundred eleven million, eight hundred seventeen thousand, four hundred eighty-one".

Divisors: 1 23 71 227 529 1633 5041 5221 16117 37559 51529 115943 120083 370691 1144307 1185167 2666689 3658559 8525893 26319061 27258841 84146857 259757689 605338403 1935377711 5974426847 137411817481