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1190240121366 = 2341914911232311
BaseRepresentation
bin10001010100011111110…
…101101111001000010110
311012210012212202220110000
4101110133311233020112
5124000102432340431
62310442212312130
7151664155050252
oct21243765571026
94183185686400
101190240121366
1141986157889a
12172815012646
13883155916aa
144187222d262
1520e62e5e9e6
hex1151fd6f216

1190240121366 has 160 divisors (see below), whose sum is σ = 2829971232000. Its totient is φ = 372848857920.

The previous prime is 1190240121349. The next prime is 1190240121391. The reversal of 1190240121366 is 6631210420911.

It is a happy number.

1190240121366 is a `hidden beast` number, since 1 + 190 + 2 + 401 + 2 + 1 + 3 + 66 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1190240121366.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 515031351 + ... + 515033661.

It is an arithmetic number, because the mean of its divisors is an integer number (17687320200).

Almost surely, 21190240121366 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1190240121366, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1414985616000).

1190240121366 is an abundant number, since it is smaller than the sum of its proper divisors (1639731110634).

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

1190240121366 is a wasteful number, since it uses less digits than its factorization.

1190240121366 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3616 (or 3607 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 1190240121366 in words is "one trillion, one hundred ninety billion, two hundred forty million, one hundred twenty-one thousand, three hundred sixty-six".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 114 149 162 171 298 342 447 513 894 1026 1123 1341 1539 2246 2311 2682 2831 3078 3369 4023 4622 5662 6738 6933 8046 8493 10107 12069 13866 16986 20214 20799 21337 24138 25479 30321 41598 42674 43909 50958 60642 62397 64011 76437 87818 90963 124794 128022 131727 152874 167327 181926 187191 192033 229311 263454 334654 344339 374382 384066 395181 458622 501981 576099 688678 790362 1003962 1033017 1152198 1185543 1505943 1728297 2066034 2371086 2595253 3011886 3099051 3179213 3456594 3556629 4517829 5190506 6198102 6358426 6542441 7113258 7785759 9035658 9297153 9537639 13084882 13553487 15571518 18594306 19075278 19627323 23357277 27106974 27891459 28612917 39254646 46714554 49309807 55782918 57225834 58881969 70071831 85838751 98619614 117763938 140143662 147929421 171677502 176645907 210215493 257516253 295858842 353291814 386692697 420430986 443788263 515032506 529937721 773385394 887576526 1059875442 1160078091 1331364789 2320156182 2662729578 3480234273 3994094367 6960468546 7347161243 7988188734 10440702819 14694322486 20881405638 22041483729 31322108457 44082967458 62644216914 66124451187 132248902374 198373353561 396746707122 595120060683 1190240121366