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3150420144 = 243177948871
BaseRepresentation
bin1011101111000111…
…1001100010110000
322010120001220222120
42323301321202300
522423001421034
61240340234240
7141033062244
oct27361714260
98116056876
103150420144
11137736a313
1273b09b980
133b28cc741
1421c5a0424
151368a7c49
hexbbc798b0

3150420144 has 80 divisors (see below), whose sum is σ = 8726584320. Its totient is φ = 975836160.

The previous prime is 3150420139. The next prime is 3150420149. The reversal of 3150420144 is 4410240513.

It is an interprime number because it is at equal distance from previous prime (3150420139) and next prime (3150420149).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (3150420149) 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 15 ways as a sum of consecutive naturals, for example, 40029 + ... + 88899.

It is an arithmetic number, because the mean of its divisors is an integer number (109082304).

Almost surely, 23150420144 is an apocalyptic number.

3150420144 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3150420144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4363292160).

3150420144 is an abundant number, since it is smaller than the sum of its proper divisors (5576164176).

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

3150420144 is a wasteful number, since it uses less digits than its factorization.

3150420144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48978 (or 48972 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 3150420144 is about 56128.6036170507. The cubic root of 3150420144 is about 1465.9623793054.

Adding to 3150420144 its reverse (4410240513), we get a palindrome (7560660657).

The spelling of 3150420144 in words is "three billion, one hundred fifty million, four hundred twenty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 79 102 136 158 204 237 272 316 408 474 632 816 948 1264 1343 1896 2686 3792 4029 5372 8058 10744 16116 21488 32232 48871 64464 97742 146613 195484 293226 390968 586452 781936 830807 1172904 1661614 2345808 2492421 3323228 3860809 4984842 6646456 7721618 9969684 11582427 13292912 15443236 19939368 23164854 30886472 39878736 46329708 61772944 65633753 92659416 131267506 185318832 196901259 262535012 393802518 525070024 787605036 1050140048 1575210072 3150420144