Search a number
-
+
373714754427 = 33712
BaseRepresentation
bin1010111000000110010…
…00101001101101111011
31022201121211020112201000
411130003020221231323
522110331434120202
6443403204100043
736000000000000
oct5340310515573
91281554215630
10373714754427
11134545266353
1260518394623
1329319a647b1
14141332598a7
159ac3e9c91c
hex5703229b7b

373714754427 has 52 divisors (see below), whose sum is σ = 645926736040. Its totient is φ = 213551288244.

The previous prime is 373714754417. The next prime is 373714754447. The reversal of 373714754427 is 724457417373.

The cubic root of 373714754427 is 7203.

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

373714754427 is a `hidden beast` number, since 3 + 7 + 3 + 71 + 4 + 7 + 544 + 27 = 666.

373714754427 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 373714754427 - 214 = 373714738043 is a prime.

It is a Duffinian number.

Its product of digits (13829760) is a multiple of the sum of its prime divisors (10).

It is an enlightened number because it begins with the concatenation of its prime factors (37).

It is not an unprimeable number, because it can be changed into a prime (373714754407) by changing a digit.

It is a polite number, since it can be written in 51 ways as a sum of consecutive naturals, for example, 53387822058 + ... + 53387822064.

Almost surely, 2373714754427 is an apocalyptic number.

373714754427 is a deficient number, since it is larger than the sum of its proper divisors (272211981613).

373714754427 is an frugal number, since it uses more digits than its factorization.

373714754427 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 10 counting only the distinct ones).

The product of its digits is 13829760, while the sum is 54.

The spelling of 373714754427 in words is "three hundred seventy-three billion, seven hundred fourteen million, seven hundred fifty-four thousand, four hundred twenty-seven".

Divisors: 1 3 7 9 21 27 49 63 147 189 343 441 1029 1323 2401 3087 7203 9261 16807 21609 50421 64827 117649 151263 352947 453789 823543 1058841 2470629 3176523 5764801 7411887 17294403 22235661 40353607 51883209 121060821 155649627 282475249 363182463 847425747 1089547389 1977326743 2542277241 5931980229 7626831723 13841287201 17795940687 41523861603 53387822061 124571584809 373714754427