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142033131011420 = 2251121531238316087
BaseRepresentation
bin100000010010110110101010…
…010100011111110101011100
3200121220020100002221011011022
4200102312222110133311130
5122104032323014331140
61222025041500343312
741626361251531145
oct4022665224376534
9617806302834138
10142033131011420
114128aa04729300
1213b1ab80244b38
136133888c0232c
142710623d72acc
15116491ae150b5
hex812daa51fd5c

142033131011420 has 144 divisors (see below), whose sum is σ = 328222240195584. Its totient is φ = 51589809532800.

The previous prime is 142033131011389. The next prime is 142033131011503. The reversal of 142033131011420 is 24110131330241.

142033131011420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 142033131011420.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8829054617 + ... + 8829070703.

Almost surely, 2142033131011420 is an apocalyptic number.

142033131011420 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 142033131011420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164111120097792).

142033131011420 is an abundant number, since it is smaller than the sum of its proper divisors (186189109184164).

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

142033131011420 is a wasteful number, since it uses less digits than its factorization.

142033131011420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20032 (or 20019 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 142033131011420 its reverse (24110131330241), we get a palindrome (166143262341661).

The spelling of 142033131011420 in words is "one hundred forty-two trillion, thirty-three billion, one hundred thirty-one million, eleven thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 1210 1531 2383 2420 3062 4766 6124 7655 9532 11915 15310 16087 16841 23830 26213 30620 32174 33682 47660 52426 64348 67364 80435 84205 104852 131065 160870 168410 176957 185251 262130 288343 321740 336820 353914 370502 524260 576686 707828 741004 884785 926255 1153372 1441715 1769570 1852510 1946527 2883430 3539140 3648373 3705020 3893054 5766860 7296746 7786108 9732635 14593492 18241865 19465270 24629197 36483730 38335321 38930540 40132103 49258394 72967460 76670642 80264206 98516788 123145985 153341284 160528412 191676605 200660515 246291970 270921167 383353210 401321030 421688531 441453133 492583940 541842334 766706420 802642060 843377062 882906266 1083684668 1354605835 1686754124 1765812532 2108442655 2207265665 2709211670 2980132837 4216885310 4414531330 4638573841 5418423340 5960265674 8433770620 8829062660 9277147682 11920531348 14900664185 18554295364 23192869205 29801328370 46385738410 58691376451 59602656740 92771476820 117382752902 234765505804 293456882255 586913764510 645605140961 1173827529020 1291210281922 2582420563844 3228025704805 6456051409610 7101656550571 12912102819220 14203313101142 28406626202284 35508282752855 71016565505710 142033131011420