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142303431040 = 2755910873467
BaseRepresentation
bin1000010010000111110…
…0100000100110000000
3111121022101000022002221
42010201330200212000
54312414134243130
6145212344220424
713165261130461
oct2044174404600
9447271008087
10142303431040
1155394638a61
12236b516a714
131055ab68a44
146c5d510d68
153a7d06e87a
hex2121f20980

142303431040 has 128 divisors (see below), whose sum is σ = 346378291200. Its totient is φ = 55889000448.

The previous prime is 142303430993. The next prime is 142303431079. The reversal of 142303431040 is 40134303241.

142303431040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 142303430996 and 142303431014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41043387 + ... + 41046853.

It is an arithmetic number, because the mean of its divisors is an integer number (2706080400).

Almost surely, 2142303431040 is an apocalyptic number.

142303431040 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 142303431040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173189145600).

142303431040 is an abundant number, since it is smaller than the sum of its proper divisors (204074860160).

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

142303431040 is a wasteful number, since it uses less digits than its factorization.

142303431040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4632 (or 4620 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 142303431040 its reverse (40134303241), we get a palindrome (182437734281).

The spelling of 142303431040 in words is "one hundred forty-two billion, three hundred three million, four hundred thirty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 59 64 80 118 128 160 236 295 320 472 590 640 944 1087 1180 1888 2174 2360 3467 3776 4348 4720 5435 6934 7552 8696 9440 10870 13868 17335 17392 18880 21740 27736 34670 34784 37760 43480 55472 64133 69340 69568 86960 110944 128266 138680 139136 173920 204553 221888 256532 277360 320665 347840 409106 443776 513064 554720 641330 695680 818212 1022765 1026128 1109440 1282660 1636424 2045530 2052256 2218880 2565320 3272848 3768629 4091060 4104512 5130640 6545696 7537258 8182120 8209024 10261280 13091392 15074516 16364240 18843145 20522560 26182784 30149032 32728480 37686290 41045120 60298064 65456960 75372580 120596128 130913920 150745160 222349111 241192256 301490320 444698222 482384512 602980640 889396444 1111745555 1205961280 1778792888 2223491110 2411922560 3557585776 4446982220 7115171552 8893964440 14230343104 17787928880 28460686208 35575857760 71151715520 142303431040