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142004713050 = 23252733430513
BaseRepresentation
bin1000010001000000100…
…0111111011001011010
3111120112112220212001200
42010100020333121122
54311311201304200
6145122553455030
713155003100524
oct2042010773132
9446475825050
10142004713050
1155250a5a792
1223631111476
1310510cc9635
146c31992a14
153a61c15800
hex211023f65a

142004713050 has 72 divisors (see below), whose sum is σ = 382040706684. Its totient is φ = 37816174080.

The previous prime is 142004713049. The next prime is 142004713087. The reversal of 142004713050 is 50317400241.

142004713050 is a `hidden beast` number, since 142 + 0 + 0 + 471 + 3 + 0 + 50 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 123102037881 + 18902675169 = 350859^2 + 137487^2 .

It is a super-3 number, since 3×1420047130503 (a number of 34 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 114594 + ... + 545106.

Almost surely, 2142004713050 is an apocalyptic number.

142004713050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 142004713050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191020353342).

142004713050 is an abundant number, since it is smaller than the sum of its proper divisors (240035993634).

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

142004713050 is a wasteful number, since it uses less digits than its factorization.

142004713050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431264 (or 431256 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The spelling of 142004713050 in words is "one hundred forty-two billion, four million, seven hundred thirteen thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 450 733 1466 2199 3665 4398 6597 7330 10995 13194 18325 21990 32985 36650 54975 65970 109950 164925 329850 430513 861026 1291539 2152565 2583078 3874617 4305130 6457695 7749234 10762825 12915390 19373085 21525650 32288475 38746170 64576950 96865425 193730850 315566029 631132058 946698087 1577830145 1893396174 2840094261 3155660290 4733490435 5680188522 7889150725 9466980870 14200471305 15778301450 23667452175 28400942610 47334904350 71002356525 142004713050