Search a number
-
+
142444672 = 2719371583
BaseRepresentation
bin10000111110110…
…00100010000000
3100221000221100121
420133120202000
5242431212142
622045030024
73346521406
oct1037304200
9327027317
10142444672
1173451877
123b855314
1323684cb6
1414cbd476
15c78ac67
hex87d8880

142444672 has 64 divisors (see below), whose sum is σ = 306979200. Its totient is φ = 65608704.

The previous prime is 142444669. The next prime is 142444693. The reversal of 142444672 is 276444241.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 89193 + ... + 90775.

It is an arithmetic number, because the mean of its divisors is an integer number (4796550).

Almost surely, 2142444672 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 142444672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153489600).

142444672 is an abundant number, since it is smaller than the sum of its proper divisors (164534528).

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

142444672 is a wasteful number, since it uses less digits than its factorization.

142444672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1653 (or 1641 counting only the distinct ones).

The product of its digits is 43008, while the sum is 34.

The square root of 142444672 is about 11935.0187264202. The cubic root of 142444672 is about 522.2543545911.

The spelling of 142444672 in words is "one hundred forty-two million, four hundred forty-four thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 19 32 37 38 64 74 76 128 148 152 296 304 592 608 703 1184 1216 1406 1583 2368 2432 2812 3166 4736 5624 6332 11248 12664 22496 25328 30077 44992 50656 58571 60154 89984 101312 117142 120308 202624 234284 240616 468568 481232 937136 962464 1112849 1874272 1924928 2225698 3748544 3849856 4451396 7497088 8902792 17805584 35611168 71222336 142444672