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4142051010 = 23251312571367
BaseRepresentation
bin1111011011100010…
…1010111011000010
3101200122222222210200
43312320222323002
531440331113020
61523002310030
7204433565316
oct36670527302
911618888720
104142051010
111836097259
129771b8316
13510199476
142b416db46
15193984590
hexf6e2aec2

4142051010 has 96 divisors (see below), whose sum is σ = 10901734272. Its totient is φ = 1091051520.

The previous prime is 4142050987. The next prime is 4142051051. The reversal of 4142051010 is 101502414.

4142051010 is a `hidden beast` number, since 4 + 142 + 0 + 510 + 10 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 3029347 + ... + 3030713.

It is an arithmetic number, because the mean of its divisors is an integer number (113559732).

Almost surely, 24142051010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4142051010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5450867136).

4142051010 is an abundant number, since it is smaller than the sum of its proper divisors (6759683262).

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

4142051010 is a wasteful number, since it uses less digits than its factorization.

4142051010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1768 (or 1765 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 4142051010 is about 64358.7679341362. The cubic root of 4142051010 is about 1605.9738928784.

Adding to 4142051010 its reverse (101502414), we get a palindrome (4243553424).

The spelling of 4142051010 in words is "four billion, one hundred forty-two million, fifty-one thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 131 257 262 393 514 655 771 786 1179 1285 1310 1367 1542 1965 2313 2358 2570 2734 3855 3930 4101 4626 5895 6835 7710 8202 11565 11790 12303 13670 20505 23130 24606 33667 41010 61515 67334 101001 123030 168335 179077 202002 303003 336670 351319 358154 505005 537231 606006 702638 895385 1010010 1053957 1074462 1515015 1611693 1756595 1790770 2107914 2686155 3030030 3161871 3223386 3513190 5269785 5372310 6323742 8058465 10539570 15809355 16116930 31618710 46022789 92045578 138068367 230113945 276136734 414205101 460227890 690341835 828410202 1380683670 2071025505 4142051010