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144757676 = 22723229337
BaseRepresentation
bin10001010000011…
…01001110101100
3101002101110012102
420220031032230
5244024221201
622210354232
73405264020
oct1050151654
9332343172
10144757676
1174791648
124058b978
1323cb4a3b
1415322380
15ca9626b
hex8a0d3ac

144757676 has 72 divisors (see below), whose sum is σ = 314015520. Its totient is φ = 57125376.

The previous prime is 144757667. The next prime is 144757687. The reversal of 144757676 is 676757441.

It is a self number, because there is not a number n which added to its sum of digits gives 144757676.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 429380 + ... + 429716.

Almost surely, 2144757676 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 144757676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157007760).

144757676 is an abundant number, since it is smaller than the sum of its proper divisors (169257844).

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

144757676 is a wasteful number, since it uses less digits than its factorization.

144757676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 398 counting only the distinct ones).

The product of its digits is 987840, while the sum is 47.

The square root of 144757676 is about 12031.5284149604. The cubic root of 144757676 is about 525.0659641983.

The spelling of 144757676 in words is "one hundred forty-four million, seven hundred fifty-seven thousand, six hundred seventy-six".

Divisors: 1 2 4 7 14 23 28 29 46 58 92 116 161 203 322 337 406 529 644 667 674 812 1058 1334 1348 2116 2359 2668 3703 4669 4718 7406 7751 9338 9436 9773 14812 15341 15502 18676 19546 30682 31004 39092 54257 61364 68411 107387 108514 136822 178273 214774 217028 224779 273644 356546 429548 449558 713092 899116 1247911 1573453 2495822 3146906 4991644 5169917 6293812 10339834 20679668 36189419 72378838 144757676