Search a number
-
+
138153306445 = 571117191110959
BaseRepresentation
bin1000000010101010010…
…1000010100101001101
3111012121010211010102121
42000222211002211031
54230414221301240
6143244452452541
712660365505040
oct2005245024515
9435533733377
10138153306445
1153654a37a20
122293731a151
131004910380b
14698827cc57
1538d8a4304a
hex202a94294d

138153306445 has 64 divisors (see below), whose sum is σ = 230368665600. Its totient is φ = 76789416960.

The previous prime is 138153306437. The next prime is 138153306457. The reversal of 138153306445 is 544603351831.

It is not a de Polignac number, because 138153306445 - 23 = 138153306437 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 431125 + ... + 679834.

It is an arithmetic number, because the mean of its divisors is an integer number (3599510400).

Almost surely, 2138153306445 is an apocalyptic number.

It is an amenable number.

138153306445 is a deficient number, since it is larger than the sum of its proper divisors (92215359155).

138153306445 is a wasteful number, since it uses less digits than its factorization.

138153306445 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1111018.

The product of its (nonzero) digits is 518400, while the sum is 43.

The spelling of 138153306445 in words is "one hundred thirty-eight billion, one hundred fifty-three million, three hundred six thousand, four hundred forty-five".

Divisors: 1 5 7 11 17 19 35 55 77 85 95 119 133 187 209 323 385 595 665 935 1045 1309 1463 1615 2261 3553 6545 7315 11305 17765 24871 124355 1110959 5554795 7776713 12220549 18886303 21108221 38883565 61102745 85543843 94431515 105541105 132204121 147757547 207749333 232190431 358839757 427719215 661020605 738787735 1038746665 1160952155 1454245331 1625333017 1794198785 2511878299 3947237327 7271226655 8126665085 12559391495 19736186635 27630661289 138153306445