Search a number
-
+
1943289144 = 233419157837
BaseRepresentation
bin111001111010100…
…0011110100111000
312000102122022120000
41303311003310320
512434440223034
6520455233000
766104454006
oct16365036470
95012568500
101943289144
11907a32995
12462978760
1324c7ac544
14146135a76
15b590e599
hex73d43d38

1943289144 has 80 divisors (see below), whose sum is σ = 5729519400. Its totient is φ = 613666368.

The previous prime is 1943289143. The next prime is 1943289151. The reversal of 1943289144 is 4419823491.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1943289144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1943289143) 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 19 ways as a sum of consecutive naturals, for example, 66607 + ... + 91230.

Almost surely, 21943289144 is an apocalyptic number.

It is an amenable number.

1943289144 is an abundant number, since it is smaller than the sum of its proper divisors (3786230256).

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

1943289144 is a wasteful number, since it uses less digits than its factorization.

1943289144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157874 (or 157861 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 1943289144 is about 44082.7533622844. The cubic root of 1943289144 is about 1247.8981518216.

The spelling of 1943289144 in words is "one billion, nine hundred forty-three million, two hundred eighty-nine thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 81 108 114 152 162 171 216 228 324 342 456 513 648 684 1026 1368 1539 2052 3078 4104 6156 12312 157837 315674 473511 631348 947022 1262696 1420533 1894044 2841066 2998903 3788088 4261599 5682132 5997806 8523198 8996709 11364264 11995612 12784797 17046396 17993418 23991224 25569594 26990127 34092792 35986836 51139188 53980254 71973672 80970381 102278376 107960508 161940762 215921016 242911143 323881524 485822286 647763048 971644572 1943289144