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11988131040 = 2532541203051
BaseRepresentation
bin10110010101000110…
…00101110011100000
31010221110210011012100
423022203011303200
5144022430143130
65301323130400
7603035301234
oct131243056340
933843704170
1011988131040
1150a1a95316
1223a6973a00
13119086a382
1481a20c5c4
154a26c8c60
hex2ca8c5ce0

11988131040 has 144 divisors (see below), whose sum is σ = 41907496176. Its totient is φ = 3118848000.

The previous prime is 11988130981. The next prime is 11988131053. The reversal of 11988131040 is 4013188911.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×119881310402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11988130986 and 11988131004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42486 + ... + 160565.

It is an arithmetic number, because the mean of its divisors is an integer number (291024279).

Almost surely, 211988131040 is an apocalyptic number.

11988131040 is a gapful number since it is divisible by the number (10) 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 11988131040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20953748088).

11988131040 is an abundant number, since it is smaller than the sum of its proper divisors (29919365136).

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

11988131040 is a wasteful number, since it uses less digits than its factorization.

11988131040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203113 (or 203102 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 36.

The spelling of 11988131040 in words is "eleven billion, nine hundred eighty-eight million, one hundred thirty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 41 45 48 60 72 80 82 90 96 120 123 144 160 164 180 205 240 246 288 328 360 369 410 480 492 615 656 720 738 820 984 1230 1312 1440 1476 1640 1845 1968 2460 2952 3280 3690 3936 4920 5904 6560 7380 9840 11808 14760 19680 29520 59040 203051 406102 609153 812204 1015255 1218306 1624408 1827459 2030510 2436612 3045765 3248816 3654918 4061020 4873224 6091530 6497632 7309836 8122040 8325091 9137295 9746448 12183060 14619672 16244080 16650182 18274590 19492896 24366120 24975273 29239344 32488160 33300364 36549180 41625455 48732240 49950546 58478688 66600728 73098360 74925819 83250910 97464480 99901092 124876365 133201456 146196720 149851638 166501820 199802184 249752730 266402912 292393440 299703276 333003640 374629095 399604368 499505460 599406552 666007280 749258190 799208736 999010920 1198813104 1332014560 1498516380 1998021840 2397626208 2997032760 3996043680 5994065520 11988131040