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1138343145660 = 2232571947549839
BaseRepresentation
bin10000100100001010100…
…010011111000010111100
311000211021002110101100200
4100210022202133002330
5122122311321130120
62230540404123500
7145146130042140
oct20441242370274
94024232411320
101138343145660
113a9850035926
12164750996590
1383464809846
143d14b9c1220
151e926ca7e90
hex1090a89f0bc

1138343145660 has 144 divisors (see below), whose sum is σ = 4153954022400. Its totient is φ = 246498360192.

The previous prime is 1138343145581. The next prime is 1138343145689. The reversal of 1138343145660 is 665413438311.

1138343145660 is a `hidden beast` number, since 1 + 1 + 3 + 83 + 4 + 3 + 1 + 4 + 566 + 0 = 666.

It is a super-2 number, since 2×11383431456602 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23750980 + ... + 23798859.

Almost surely, 21138343145660 is an apocalyptic number.

1138343145660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1138343145660 is an abundant number, since it is smaller than the sum of its proper divisors (3015610876740).

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

1138343145660 is a wasteful number, since it uses less digits than its factorization.

1138343145660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47549880 (or 47549875 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

It can be divided in two parts, 1138343 and 145660, that added together give a triangular number (1284003 = T1602).

The spelling of 1138343145660 in words is "one trillion, one hundred thirty-eight billion, three hundred forty-three million, one hundred forty-five thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 19 20 21 28 30 35 36 38 42 45 57 60 63 70 76 84 90 95 105 114 126 133 140 171 180 190 210 228 252 266 285 315 342 380 399 420 532 570 630 665 684 798 855 1140 1197 1260 1330 1596 1710 1995 2394 2660 3420 3990 4788 5985 7980 11970 23940 47549839 95099678 142649517 190199356 237749195 285299034 332848873 427948551 475498390 570598068 665697746 713247585 855897102 903446941 950996780 998546619 1331395492 1426495170 1664244365 1711794204 1806893882 1997093238 2139742755 2710340823 2852990340 2995639857 3328488730 3613787764 3994186476 4279485510 4517234705 4992733095 5420681646 5991279714 6324128587 6656977460 8131022469 8558971020 9034469410 9985466190 10841363292 11982559428 12648257174 13551704115 14978199285 16262044938 18068938820 18972385761 19970932380 25296514348 27103408230 29956398570 31620642935 32524089876 37944771522 40655112345 54206816460 56917157283 59912797140 63241285870 75889543044 81310224690 94861928805 113834314566 126482571740 162620449380 189723857610 227668629132 284585786415 379447715220 569171572830 1138343145660