Search a number
-
+
142419984 = 2437423869
BaseRepresentation
bin10000111110100…
…10100000010000
3100220222200111020
420133102200100
5242424414414
622044315440
73346356420
oct1037224020
9326880436
10142419984
1173435273
123b842b80
13236769a5
1414cb4480
15c7837a9
hex87d2810

142419984 has 40 divisors (see below), whose sum is σ = 420479040. Its totient is φ = 40691328.

The previous prime is 142419973. The next prime is 142420009. The reversal of 142419984 is 489914241.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 211599 + ... + 212270.

It is an arithmetic number, because the mean of its divisors is an integer number (10511976).

Almost surely, 2142419984 is an apocalyptic number.

142419984 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

142419984 is an abundant number, since it is smaller than the sum of its proper divisors (278059056).

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

142419984 is a wasteful number, since it uses less digits than its factorization.

142419984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423887 (or 423881 counting only the distinct ones).

The product of its digits is 82944, while the sum is 42.

The square root of 142419984 is about 11933.9844142684. The cubic root of 142419984 is about 522.2241810969.

The spelling of 142419984 in words is "one hundred forty-two million, four hundred nineteen thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 423869 847738 1271607 1695476 2543214 2967083 3390952 5086428 5934166 6781904 8901249 10172856 11868332 17802498 20345712 23736664 35604996 47473328 71209992 142419984