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144145104 = 2438397373
BaseRepresentation
bin10001001011101…
…11101011010000
3101001020022220120
420211313223100
5243400120404
622145310240
73400133055
oct1045675320
9331208816
10144145104
1174403394
1240335380
1323b2bc7c
141520302c
15c9c49d9
hex8977ad0

144145104 has 80 divisors (see below), whose sum is σ = 381767232. Its totient is φ = 46854144.

The previous prime is 144145087. The next prime is 144145129. The reversal of 144145104 is 401541441.

144145104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1441451042 = 41555622014341632, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 386262 + ... + 386634.

Almost surely, 2144145104 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 144145104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190883616).

144145104 is an abundant number, since it is smaller than the sum of its proper divisors (237622128).

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

144145104 is a wasteful number, since it uses less digits than its factorization.

144145104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 144145104 is about 12006.0444776787. The cubic root of 144145104 is about 524.3242753227.

Adding to 144145104 its reverse (401541441), we get a palindrome (545686545).

The spelling of 144145104 in words is "one hundred forty-four million, one hundred forty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 48 83 97 166 194 249 291 332 373 388 498 582 664 746 776 996 1119 1164 1328 1492 1552 1992 2238 2328 2984 3984 4476 4656 5968 8051 8952 16102 17904 24153 30959 32204 36181 48306 61918 64408 72362 92877 96612 108543 123836 128816 144724 185754 193224 217086 247672 289448 371508 386448 434172 495344 578896 743016 868344 1486032 1736688 3003023 6006046 9009069 12012092 18018138 24024184 36036276 48048368 72072552 144145104