Search a number
-
+
144777942 = 236109911
BaseRepresentation
bin10001010000100…
…10001011010110
3101002102111000000
420220102023112
5244030343232
622211032130
73405410061
oct1050221326
9332374000
10144777942
11747a58a1
124059b646
1323cc102a
14153298d8
15ca9c27c
hex8a122d6

144777942 has 56 divisors (see below), whose sum is σ = 328949280. Its totient is φ = 47764080.

The previous prime is 144777937. The next prime is 144777943. The reversal of 144777942 is 249777441.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144777943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 158467 + ... + 159377.

Almost surely, 2144777942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144777942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164474640).

144777942 is an abundant number, since it is smaller than the sum of its proper divisors (184171338).

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

144777942 is an equidigital number, since it uses as much as digits as its factorization.

144777942 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1040 (or 1025 counting only the distinct ones).

The product of its digits is 395136, while the sum is 45.

The square root of 144777942 is about 12032.3705893727. The cubic root of 144777942 is about 525.0904660430.

The spelling of 144777942 in words is "one hundred forty-four million, seven hundred seventy-seven thousand, nine hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 109 162 218 243 327 486 654 729 911 981 1458 1822 1962 2733 2943 5466 5886 8199 8829 16398 17658 24597 26487 49194 52974 73791 79461 99299 147582 158922 198598 221373 297897 442746 595794 664119 893691 1328238 1787382 2681073 5362146 8043219 16086438 24129657 48259314 72388971 144777942