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7142950920 = 233578503513
BaseRepresentation
bin1101010011100000…
…01100100000001000
3200102210201111120210
412221300030200020
5104112043412140
63140442121120
7342003036540
oct65160144010
920383644523
107142950920
113036011826
1214741b01a0
1389ab074a1
144ba92c320
152bc154d80
hex1a9c0c808

7142950920 has 64 divisors (see below), whose sum is σ = 24490120320. Its totient is φ = 1632674304.

The previous prime is 7142950907. The next prime is 7142950921. The reversal of 7142950920 is 290592417.

It is a super-3 number, since 3×71429509203 (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (7142950921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4250917 + ... + 4252596.

It is an arithmetic number, because the mean of its divisors is an integer number (382658130).

Almost surely, 27142950920 is an apocalyptic number.

7142950920 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

7142950920 is an abundant number, since it is smaller than the sum of its proper divisors (17347169400).

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

7142950920 is a wasteful number, since it uses less digits than its factorization.

7142950920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8503534 (or 8503530 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 7142950920 is about 84515.9802640897. The cubic root of 7142950920 is about 1925.8652135802.

The spelling of 7142950920 in words is "seven billion, one hundred forty-two million, nine hundred fifty thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 8503513 17007026 25510539 34014052 42517565 51021078 59524591 68028104 85035130 102042156 119049182 127552695 170070260 178573773 204084312 238098364 255105390 297622955 340140520 357147546 476196728 510210780 595245910 714295092 892868865 1020421560 1190491820 1428590184 1785737730 2380983640 3571475460 7142950920