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3140013140 = 22511371093539
BaseRepresentation
bin1011101100101000…
…1100110001010100
322002211111012020222
42323022030301110
522412320410030
61235325213512
7140545446155
oct27312146124
98084435228
103140013140
111371501390
12737701298
133b06c7854
1421b05192c
151359ee3e5
hexbb28cc54

3140013140 has 96 divisors (see below), whose sum is σ = 7457788800. Its totient is φ = 1100459520.

The previous prime is 3140013137. The next prime is 3140013161. The reversal of 3140013140 is 413100413.

It is a congruent number.

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, 885491 + ... + 889029.

It is an arithmetic number, because the mean of its divisors is an integer number (77685300).

Almost surely, 23140013140 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 3140013140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3728894400).

3140013140 is an abundant number, since it is smaller than the sum of its proper divisors (4317775660).

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

3140013140 is a wasteful number, since it uses less digits than its factorization.

3140013140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3705 (or 3703 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 3140013140 is about 56035.8201510427. The cubic root of 3140013140 is about 1464.3463931207.

Adding to 3140013140 its reverse (413100413), we get a palindrome (3553113553).

The spelling of 3140013140 in words is "three billion, one hundred forty million, thirteen thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 37 44 55 74 109 110 148 185 218 220 370 407 436 545 740 814 1090 1199 1628 2035 2180 2398 3539 4033 4070 4796 5995 7078 8066 8140 11990 14156 16132 17695 20165 23980 35390 38929 40330 44363 70780 77858 80660 88726 130943 155716 177452 194645 221815 261886 385751 389290 443630 523772 654715 771502 778580 887260 1309430 1440373 1543004 1928755 2618860 2880746 3857510 4243261 5761492 7201865 7715020 8486522 14272787 14403730 16973044 21216305 28545574 28807460 42432610 57091148 71363935 84865220 142727870 157000657 285455740 314001314 628002628 785003285 1570006570 3140013140