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7142815020 = 22351179136993
BaseRepresentation
bin1101010011011111…
…01011010100101100
3200102210110121011110
412221233223110230
5104112030040040
63140435152020
7342001632405
oct65157532454
920383417143
107142815020
113035a29710
121474145610
1389aa8a683
144ba8d49ac
152bc129980
hex1a9beb52c

7142815020 has 96 divisors (see below), whose sum is σ = 22094392320. Its totient is φ = 1709660160.

The previous prime is 7142815019. The next prime is 7142815037. The reversal of 7142815020 is 205182417.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16357 + ... + 120636.

It is an arithmetic number, because the mean of its divisors is an integer number (230149920).

Almost surely, 27142815020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7142815020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11047196160).

7142815020 is an abundant number, since it is smaller than the sum of its proper divisors (14951577300).

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

7142815020 is a wasteful number, since it uses less digits than its factorization.

7142815020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137095 (or 137093 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 30.

The square root of 7142815020 is about 84515.1762703007. The cubic root of 7142815020 is about 1925.8529998259.

Adding to 7142815020 its reverse (205182417), we get a palindrome (7347997437).

The spelling of 7142815020 in words is "seven billion, one hundred forty-two million, eight hundred fifteen thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 79 110 132 158 165 220 237 316 330 395 474 660 790 869 948 1185 1580 1738 2370 2607 3476 4345 4740 5214 8690 10428 13035 17380 26070 52140 136993 273986 410979 547972 684965 821958 1369930 1506923 1643916 2054895 2739860 3013846 4109790 4520769 6027692 7534615 8219580 9041538 10822447 15069230 18083076 21644894 22603845 30138460 32467341 43289788 45207690 54112235 64934682 90415380 108224470 119046917 129869364 162336705 216448940 238093834 324673410 357140751 476187668 595234585 649346820 714281502 1190469170 1428563004 1785703755 2380938340 3571407510 7142815020