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142483130688 = 2633761332719
BaseRepresentation
bin1000010010110010101…
…0000000100101000000
3111121202220010222200110
42010230222000211000
54313301140140223
6145242243551320
713202602425243
oct2045452004500
9447686128613
10142483130688
1155477015a68
122374538b540
1310589165cb2
146c7932b25a
153a8dc18d93
hex212ca80940

142483130688 has 112 divisors (see below), whose sum is σ = 387818904320. Its totient is φ = 46133950464.

The previous prime is 142483130681. The next prime is 142483130689. The reversal of 142483130688 is 886031384241.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142483130681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4338393 + ... + 4371111.

Almost surely, 2142483130688 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 142483130688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193909452160).

142483130688 is an abundant number, since it is smaller than the sum of its proper divisors (245335773632).

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

142483130688 is a wasteful number, since it uses less digits than its factorization.

142483130688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33384 (or 33374 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 48.

The spelling of 142483130688 in words is "one hundred forty-two billion, four hundred eighty-three million, one hundred thirty thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 148 192 222 296 444 592 613 888 1184 1226 1776 1839 2368 2452 3552 3678 4904 7104 7356 9808 14712 19616 22681 29424 32719 39232 45362 58848 65438 68043 90724 98157 117696 130876 136086 181448 196314 261752 272172 362896 392628 523504 544344 725792 785256 1047008 1088688 1210603 1451584 1570512 2094016 2177376 2421206 3141024 3631809 4354752 4842412 6282048 7263618 9684824 14527236 19369648 20056747 29054472 38739296 40113494 58108944 60170241 77478592 80226988 116217888 120340482 160453976 232435776 240680964 320907952 481361928 641815904 742099639 962723856 1283631808 1484199278 1925447712 2226298917 2968398556 3850895424 4452597834 5936797112 8905195668 11873594224 17810391336 23747188448 35620782672 47494376896 71241565344 142483130688