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142321205035032 = 2331723148910185607
BaseRepresentation
bin100000010111000010111100…
…110111101100000000011000
3200122220202220111000210212020
4200113002330313230000120
5122123242311442110112
61222405243050414440
741656240064402202
oct4027027467540030
9618822814023766
10142321205035032
11413910a1a32a71
1213b66977731420
136154aa801647a
142720551245772
15116c17b5c648c
hex8170bcdec018

142321205035032 has 128 divisors (see below), whose sum is σ = 393376329446400. Its totient is φ = 42679807746048.

The previous prime is 142321205035019. The next prime is 142321205035057. The reversal of 142321205035032 is 230530502123241.

It is a junction number, because it is equal to n+sod(n) for n = 142321205034984 and 142321205035002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8879973 + ... + 19065579.

It is an arithmetic number, because the mean of its divisors is an integer number (3073252573800).

Almost surely, 2142321205035032 is an apocalyptic number.

142321205035032 is a gapful number since it is divisible by the number (12) 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 142321205035032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196688164723200).

142321205035032 is an abundant number, since it is smaller than the sum of its proper divisors (251055124411368).

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

142321205035032 is a wasteful number, since it uses less digits than its factorization.

142321205035032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10187145 (or 10187141 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 33.

Adding to 142321205035032 its reverse (230530502123241), we get a palindrome (372851707158273).

The spelling of 142321205035032 in words is "one hundred forty-two trillion, three hundred twenty-one billion, two hundred five million, thirty-five thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 17 23 24 34 46 51 68 69 92 102 136 138 184 204 276 391 408 552 782 1173 1489 1564 2346 2978 3128 4467 4692 5956 8934 9384 11912 17868 25313 34247 35736 50626 68494 75939 101252 102741 136988 151878 202504 205482 273976 303756 410964 582199 607512 821928 1164398 1746597 2328796 3493194 4657592 6986388 10185607 13972776 20371214 30556821 40742428 61113642 81484856 122227284 173155319 234268961 244454568 346310638 468537922 519465957 692621276 702806883 937075844 1038931914 1385242552 1405613766 1874151688 2077863828 2811227532 3982572337 4155727656 5622455064 7965144674 11947717011 15166368823 15930289348 23895434022 30332737646 31860578696 45499106469 47790868044 60665475292 90998212938 95581736088 121330950584 181996425876 257828269991 348826482929 363992851752 515656539982 697652965858 773484809973 1031313079964 1046479448787 1395305931716 1546969619946 2062626159928 2092958897574 2790611863432 3093939239892 4185917795148 5930050209793 6187878479784 8371835590296 11860100419586 17790150629379 23720200839172 35580301258758 47440401678344 71160602517516 142321205035032