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1426269144 = 233478914207
BaseRepresentation
bin101010100000011…
…0010001111011000
310200101202222110010
41111000302033120
510410111103034
6353305521520
750226042036
oct12500621730
93611688403
101426269144
11672101133
123397a32a0
13199648551
14d75cd556
15853333e9
hex550323d8

1426269144 has 64 divisors (see below), whose sum is σ = 3682713600. Its totient is φ = 460047104.

The previous prime is 1426269139. The next prime is 1426269149. The reversal of 1426269144 is 4419626241.

It is an interprime number because it is at equal distance from previous prime (1426269139) and next prime (1426269149).

It is a super-2 number, since 2×14262691442 = 4068487342252985472, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1426269149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93289 + ... + 107495.

It is an arithmetic number, because the mean of its divisors is an integer number (57542400).

Almost surely, 21426269144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1426269144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1841356800).

1426269144 is an abundant number, since it is smaller than the sum of its proper divisors (2256444456).

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

1426269144 is a wasteful number, since it uses less digits than its factorization.

1426269144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14352 (or 14348 counting only the distinct ones).

The product of its digits is 82944, while the sum is 39.

The square root of 1426269144 is about 37765.9786580462. The cubic root of 1426269144 is about 1125.6425350746.

The spelling of 1426269144 in words is "one billion, four hundred twenty-six million, two hundred sixty-nine thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 47 89 94 141 178 188 267 282 356 376 534 564 712 1068 1128 2136 4183 8366 12549 14207 16732 25098 28414 33464 42621 50196 56828 85242 100392 113656 170484 340968 667729 1264423 1335458 2003187 2528846 2670916 3793269 4006374 5057692 5341832 7586538 8012748 10115384 15173076 16025496 30346152 59427881 118855762 178283643 237711524 356567286 475423048 713134572 1426269144