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142489984 = 277132941
BaseRepresentation
bin10000111111000…
…11100110000000
3100221010020111211
420133203212000
5242434134414
622050015504
73350100460
oct1037434600
9327106454
10142489984
117348291a
123b877594
132369c800
1414cd1ba0
15c7993c4
hex87e3980

142489984 has 96 divisors (see below), whose sum is σ = 351667440. Its totient is φ = 56309760.

The previous prime is 142489967. The next prime is 142489999. The reversal of 142489984 is 489984241.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 150954 + ... + 151894.

Almost surely, 2142489984 is an apocalyptic number.

142489984 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142489984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175833720).

142489984 is an abundant number, since it is smaller than the sum of its proper divisors (209177456).

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

142489984 is an equidigital number, since it uses as much as digits as its factorization.

142489984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 988 (or 963 counting only the distinct ones).

The product of its digits is 663552, while the sum is 49.

The square root of 142489984 is about 11936.9168548667. The cubic root of 142489984 is about 522.3097255179.

The spelling of 142489984 in words is "one hundred forty-two million, four hundred eighty-nine thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 169 182 208 224 338 364 416 448 676 728 832 896 941 1183 1352 1456 1664 1882 2366 2704 2912 3764 4732 5408 5824 6587 7528 9464 10816 11648 12233 13174 15056 18928 21632 24466 26348 30112 37856 48932 52696 60224 75712 85631 97864 105392 120448 151424 159029 171262 195728 210784 318058 342524 391456 421568 636116 685048 782912 843136 1113203 1272232 1370096 1565824 2226406 2544464 2740192 4452812 5088928 5480384 8905624 10177856 10960768 17811248 20355712 35622496 71244992 142489984