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142302442000 = 24532512571103
BaseRepresentation
bin1000010010000111100…
…0101111001000010000
3111121022022011001101211
42010201320233020100
54312413411121000
6145212311105504
713165246541125
oct2044170571020
9447268131354
10142302442000
1155394022974
12236b4972294
131055a8b0804
146c5d33474c
153a7ce267ba
hex2121e2f210

142302442000 has 160 divisors (see below), whose sum is σ = 347116783104. Its totient is φ = 56422400000.

The previous prime is 142302441991. The next prime is 142302442043. The reversal of 142302442000 is 244203241.

It is a happy 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, 129013449 + ... + 129014551.

Almost surely, 2142302442000 is an apocalyptic number.

142302442000 is a gapful number since it is divisible by the number (10) 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 142302442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173558391552).

142302442000 is an abundant number, since it is smaller than the sum of its proper divisors (204814341104).

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

142302442000 is a wasteful number, since it uses less digits than its factorization.

142302442000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1634 (or 1618 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 142302442000 its reverse (244203241), we get a palindrome (142546645241).

The spelling of 142302442000 in words is "one hundred forty-two billion, three hundred two million, four hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 251 257 400 500 502 514 1000 1004 1028 1103 1255 1285 2000 2008 2056 2206 2510 2570 4016 4112 4412 5020 5140 5515 6275 6425 8824 10040 10280 11030 12550 12850 17648 20080 20560 22060 25100 25700 27575 31375 32125 44120 50200 51400 55150 62750 64250 64507 88240 100400 102800 110300 125500 128500 129014 137875 220600 251000 257000 258028 275750 276853 283471 322535 441200 502000 514000 516056 551500 553706 566942 645070 1032112 1103000 1107412 1133884 1290140 1384265 1417355 1612675 2206000 2214824 2267768 2580280 2768530 2834710 3225350 4429648 4535536 5160560 5537060 5669420 6450700 6921325 7086775 8063375 11074120 11338840 12901400 13842650 14173550 16126750 22148240 22677680 25802800 27685300 28347100 32253500 34606625 35433875 55370600 56694200 64507000 69213250 70867750 71151221 110741200 113388400 129014000 138426500 141735500 142302442 276853000 283471000 284604884 355756105 553706000 566942000 569209768 711512210 1138419536 1423024420 1778780525 2846048840 3557561050 5692097680 7115122100 8893902625 14230244200 17787805250 28460488400 35575610500 71151221000 142302442000