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144050608 = 24135373179
BaseRepresentation
bin10001001011000…
…00100110110000
3101001001112021201
420211200212300
5243334104413
622143300544
73366260422
oct1045404660
9331045251
10144050608
1174349399
12402aa754
1323ac7c60
14151ba812
15c9a69dd
hex89609b0

144050608 has 80 divisors (see below), whose sum is σ = 312167520. Its totient is φ = 63977472.

The previous prime is 144050573. The next prime is 144050651. The reversal of 144050608 is 806050441.

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, 804663 + ... + 804841.

It is an arithmetic number, because the mean of its divisors is an integer number (3902094).

Almost surely, 2144050608 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 144050608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156083760).

144050608 is an abundant number, since it is smaller than the sum of its proper divisors (168116912).

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

144050608 is a wasteful number, since it uses less digits than its factorization.

144050608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 144050608 is about 12002.1084814294. The cubic root of 144050608 is about 524.2096746502.

The spelling of 144050608 in words is "one hundred forty-four million, fifty thousand, six hundred eight".

Divisors: 1 2 4 8 13 16 26 52 53 73 104 106 146 179 208 212 292 358 424 584 689 716 848 949 1168 1378 1432 1898 2327 2756 2864 3796 3869 4654 5512 7592 7738 9308 9487 11024 13067 15184 15476 18616 18974 26134 30952 37232 37948 50297 52268 61904 75896 100594 104536 123331 151792 169871 201188 209072 246662 339742 402376 493324 679484 692551 804752 986648 1358968 1385102 1973296 2717936 2770204 5540408 9003163 11080816 18006326 36012652 72025304 144050608