Search a number
-
+
1442613645 = 34511323819
BaseRepresentation
bin101010111111100…
…1000100110001101
310201112112100220000
41111333020212031
510423302114040
6355052114513
750515004454
oct12577104615
93645470800
101442613645
11680354a90
12343165a39
1319cb4bb55
14d9845b9b
15869b1130
hex55fc898d

1442613645 has 40 divisors (see below), whose sum is σ = 2821119840. Its totient is φ = 699446880.

The previous prime is 1442613643. The next prime is 1442613647. The reversal of 1442613645 is 5463162441.

1442613645 is a `hidden beast` number, since 1 + 4 + 4 + 2 + 6 + 1 + 3 + 645 = 666.

It is an interprime number because it is at equal distance from previous prime (1442613643) and next prime (1442613647).

It is not a de Polignac number, because 1442613645 - 21 = 1442613643 is a prime.

It is a super-3 number, since 3×14426136453 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1442613643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 157455 + ... + 166364.

It is an arithmetic number, because the mean of its divisors is an integer number (70527996).

Almost surely, 21442613645 is an apocalyptic number.

1442613645 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1442613645 is a deficient number, since it is larger than the sum of its proper divisors (1378506195).

1442613645 is a wasteful number, since it uses less digits than its factorization.

1442613645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323847 (or 323838 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 1442613645 is about 37981.7541064127. The cubic root of 1442613645 is about 1129.9260256480.

The spelling of 1442613645 in words is "one billion, four hundred forty-two million, six hundred thirteen thousand, six hundred forty-five".

Divisors: 1 3 5 9 11 15 27 33 45 55 81 99 135 165 297 405 495 891 1485 4455 323819 971457 1619095 2914371 3562009 4857285 8743113 10686027 14571855 17810045 26229339 32058081 43715565 53430135 96174243 131146695 160290405 288522729 480871215 1442613645