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3123004140 = 2233514394019
BaseRepresentation
bin1011101000100101…
…0100001011101100
322001122111001022000
42322021110023230
522343442113030
61233520452300
7140251045224
oct27211241354
98048431260
103123004140
111362944263
12731a7a090
133aa020959
14218aa5084
1513428e860
hexba2542ec

3123004140 has 96 divisors (see below), whose sum is σ = 9725184000. Its totient is φ = 832015296.

The previous prime is 3123004127. The next prime is 3123004207. The reversal of 3123004140 is 414003213.

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 31 ways as a sum of consecutive naturals, for example, 775051 + ... + 779069.

It is an arithmetic number, because the mean of its divisors is an integer number (101304000).

Almost surely, 23123004140 is an apocalyptic number.

3123004140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3123004140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4862592000).

3123004140 is an abundant number, since it is smaller than the sum of its proper divisors (6602179860).

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

3123004140 is a wasteful number, since it uses less digits than its factorization.

3123004140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5476 (or 5468 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3123004140 is about 55883.8450717200. The cubic root of 3123004140 is about 1461.6975532182.

Adding to 3123004140 its reverse (414003213), we get a palindrome (3537007353).

The spelling of 3123004140 in words is "three billion, one hundred twenty-three million, four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 1439 2878 4019 4317 5756 7195 8038 8634 12057 12951 14390 16076 17268 20095 21585 24114 25902 28780 36171 38853 40190 43170 48228 51804 60285 64755 72342 77706 80380 86340 108513 120570 129510 144684 155412 180855 194265 217026 241140 259020 361710 388530 434052 542565 723420 777060 1085130 2170260 5783341 11566682 17350023 23133364 28916705 34700046 52050069 57833410 69400092 86750115 104100138 115666820 156150207 173500230 208200276 260250345 312300414 347000460 520500690 624600828 780751035 1041001380 1561502070 3123004140