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10142142000 = 243531690357
BaseRepresentation
bin10010111001000010…
…01100111000110000
3222011211020012021220
421130201030320300
5131232342021000
64354221145040
7506221533054
oct113441147060
928154205256
1010142142000
114334a7a441
121b706bb180
13c58297773
146c2da3c64
153e55d91a0
hex25c84ce30

10142142000 has 80 divisors (see below), whose sum is σ = 32698285152. Its totient is φ = 2704569600.

The previous prime is 10142141941. The next prime is 10142142007. The reversal of 10142142000 is 24124101.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (10142142007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 839179 + ... + 851178.

Almost surely, 210142142000 is an apocalyptic number.

10142142000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10142142000 is an abundant number, since it is smaller than the sum of its proper divisors (22556143152).

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

10142142000 is a wasteful number, since it uses less digits than its factorization.

10142142000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1690383 (or 1690367 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 10142142000 its reverse (24124101), we get a palindrome (10166266101).

The spelling of 10142142000 in words is "ten billion, one hundred forty-two million, one hundred forty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 6000 1690357 3380714 5071071 6761428 8451785 10142142 13522856 16903570 20284284 25355355 27045712 33807140 40568568 42258925 50710710 67614280 81137136 84517850 101421420 126776775 135228560 169035700 202842840 211294625 253553550 338071400 405685680 422589250 507107100 633883875 676142800 845178500 1014214200 1267767750 1690357000 2028428400 2535535500 3380714000 5071071000 10142142000