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1141361124344 = 237618927713553
BaseRepresentation
bin10000100110111110011…
…011001010001111111000
311001010001102022120210222
4100212332123022033320
5122200001421434334
62232200053555212
7145313664324620
oct20467633121770
94033042276728
101141361124344
11400059665991
12165253645b08
1383825b4744c
143d356747880
151ea51bedd2e
hex109be6ca3f8

1141361124344 has 128 divisors (see below), whose sum is σ = 2523060835200. Its totient is φ = 473977405440.

The previous prime is 1141361124331. The next prime is 1141361124367. The reversal of 1141361124344 is 4434211631411.

It is a congruent number.

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, 84207872 + ... + 84221424.

It is an arithmetic number, because the mean of its divisors is an integer number (19711412775).

Almost surely, 21141361124344 is an apocalyptic number.

1141361124344 is a gapful number since it is divisible by the number (14) 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 1141361124344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1261530417600).

1141361124344 is an abundant number, since it is smaller than the sum of its proper divisors (1381699710856).

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

1141361124344 is a wasteful number, since it uses less digits than its factorization.

1141361124344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13993 (or 13989 counting only the distinct ones).

The product of its digits is 27648, while the sum is 35.

Adding to 1141361124344 its reverse (4434211631411), we get a palindrome (5575572755755).

The spelling of 1141361124344 in words is "one trillion, one hundred forty-one billion, three hundred sixty-one million, one hundred twenty-four thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 28 56 61 89 122 178 244 277 356 427 488 554 623 712 854 1108 1246 1708 1939 2216 2492 3416 3878 4984 5429 7756 10858 13553 15512 16897 21716 24653 27106 33794 38003 43432 49306 54212 67588 76006 94871 98612 108424 118279 135176 152012 172571 189742 197224 236558 304024 345142 379484 473116 690284 758968 826733 946232 1206217 1380568 1503833 1653466 2412434 3007666 3306932 3754181 4824868 5787131 6015332 6613864 7508362 8443519 9649736 10526831 11574262 12030664 15016724 16887038 21053662 23148524 26279267 30033448 33774076 42107324 46297048 52558534 67548152 73579237 84214648 105117068 147158474 210234136 229005041 294316948 334122109 458010082 515054659 588633896 668244218 916020164 1030109318 1336488436 1603035287 1832040328 2060218636 2338854763 2672976872 3206070574 4120437272 4677709526 6412141148 9355419052 12824282296 18710838104 20381448649 40762897298 81525794596 142670140543 163051589192 285340281086 570680562172 1141361124344