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131440021301004 = 2231313939293154267
BaseRepresentation
bin11101111000101101000011…
…110001110110011100001100
3122020101112200002010211020020
4131320231003301312130030
5114212003130423113004
61143314413500022140
736454141154620413
oct3570550361663414
9566345602124206
10131440021301004
1138976444432299
12128a9b59231950
13584598278bc50
142465a33b1c47a
15102e0caeeb8d9
hex778b43c7670c

131440021301004 has 96 divisors (see below), whose sum is σ = 332671956744960. Its totient is φ = 40150843907328.

The previous prime is 131440021300963. The next prime is 131440021301041. The reversal of 131440021301004 is 400103120044131.

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, 851952279 + ... + 852106545.

It is an arithmetic number, because the mean of its divisors is an integer number (3465332882760).

Almost surely, 2131440021301004 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 131440021301004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166335978372480).

131440021301004 is an abundant number, since it is smaller than the sum of its proper divisors (201231935443956).

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

131440021301004 is a wasteful number, since it uses less digits than its factorization.

131440021301004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193719 (or 193717 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 131440021301004 its reverse (400103120044131), we get a palindrome (531543141345135).

The spelling of 131440021301004 in words is "one hundred thirty-one trillion, four hundred forty billion, twenty-one million, three hundred one thousand, four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 139 156 278 417 556 834 1668 1807 3614 5421 7228 10842 21684 39293 78586 117879 154267 157172 235758 308534 462801 471516 510809 617068 925602 1021618 1532427 1851204 2005471 2043236 3064854 4010942 5461727 6016413 6129708 8021884 10923454 12032826 16385181 21443113 21846908 24065652 32770362 42886226 64329339 65540724 71002451 85772452 128658678 142004902 213007353 257317356 278760469 284009804 426014706 557520938 836281407 852029412 1115041876 1672562814 3345125628 6061613231 12123226462 18184839693 24246452924 36369679386 72739358772 78800972003 157601944006 236402916009 315203888012 472805832018 842564239109 945611664036 1685128478218 2527692717327 3370256956436 5055385434654 10110770869308 10953335108417 21906670216834 32860005325251 43813340433668 65720010650502 131440021301004