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3140531101540 = 22572171131716657
BaseRepresentation
bin101101101100110110001…
…111011001111101100100
3102010020021000022220112201
4231230312033121331210
5402423301430222130
610402423504424244
7442616200624300
oct55546617317544
912106230286481
103140531101540
111000989a2a308
124287a5618084
1319a1c6446461
14ac006c94d00
1556a5bdc3bca
hex2db363d9f64

3140531101540 has 144 divisors (see below), whose sum is σ = 8124360734448. Its totient is φ = 1013264695296.

The previous prime is 3140531101517. The next prime is 3140531101553. The reversal of 3140531101540 is 451011350413.

It can be written as a sum of positive squares in 8 ways, for example, as 1448133051456 + 1692398050084 = 1203384^2 + 1300922^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 3140531101499 and 3140531101508.

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, 188532892 + ... + 188549548.

It is an arithmetic number, because the mean of its divisors is an integer number (56419171767).

Almost surely, 23140531101540 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 3140531101540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4062180367224).

3140531101540 is an abundant number, since it is smaller than the sum of its proper divisors (4983829632908).

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

3140531101540 is a wasteful number, since it uses less digits than its factorization.

3140531101540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28014 (or 28005 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

Adding to 3140531101540 its reverse (451011350413), we get a palindrome (3591542451953).

The spelling of 3140531101540 in words is "three trillion, one hundred forty billion, five hundred thirty-one million, one hundred one thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 49 68 70 85 98 119 140 170 196 238 245 340 476 490 595 833 980 1190 1666 2380 3332 4165 8330 11317 16657 16660 22634 33314 45268 56585 66628 79219 83285 113170 116599 158438 166570 192389 226340 233198 283169 316876 333140 384778 396095 466396 554533 566338 582995 769556 792190 816193 961945 1109066 1132676 1165990 1346723 1415845 1584380 1632386 1923890 1982183 2218132 2331980 2693446 2772665 2831690 3264772 3847780 3964366 4080965 5386892 5545330 5663380 6733615 7928732 8161930 9427061 9910915 11090660 13467230 13875281 16323860 18854122 19821830 26934460 27750562 37708244 39643660 47135305 55501124 69376405 94270610 138752810 188507269 188541220 277505620 377014538 754029076 942536345 1319550883 1885072690 2639101766 3204623573 3770145380 5278203532 6409247146 6597754415 9236856181 12818494292 13195508830 16023117865 18473712362 22432365011 26391017660 32046235730 36947424724 44864730022 46184280905 64092471460 89729460044 92368561810 112161825055 157026555077 184737123620 224323650110 314053110154 448647300220 628106220308 785132775385 1570265550770 3140531101540