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1143141023120 = 245113281619727
BaseRepresentation
bin10000101000101000100…
…000111011110110010000
311001021122110111210220212
4100220220200323312100
5122212123100214440
62233052435223252
7145406046242105
oct20505040736620
94037573453825
101143141023120
11400892340208
1216566b747b28
1383a4a819ca5
143d484caaaac
151eb080d6465
hex10a2883bd90

1143141023120 has 160 divisors (see below), whose sum is σ = 2698919758080. Its totient is φ = 450247311360.

The previous prime is 1143141023119. The next prime is 1143141023131. The reversal of 1143141023120 is 213201413411.

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, 1572408197 + ... + 1572408923.

It is an arithmetic number, because the mean of its divisors is an integer number (16868248488).

Almost surely, 21143141023120 is an apocalyptic number.

1143141023120 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 1143141023120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1349459879040).

1143141023120 is an abundant number, since it is smaller than the sum of its proper divisors (1555778734960).

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

1143141023120 is a wasteful number, since it uses less digits than its factorization.

1143141023120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1753 (or 1747 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 1143141023120 its reverse (213201413411), we get a palindrome (1356342436531).

The spelling of 1143141023120 in words is "one trillion, one hundred forty-three billion, one hundred forty-one million, twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 113 226 281 452 562 565 619 727 904 1124 1130 1238 1405 1454 1808 2248 2260 2476 2810 2908 3095 3635 4496 4520 4952 5620 5816 6190 7270 9040 9904 11240 11632 12380 14540 22480 24760 29080 31753 49520 58160 63506 69947 82151 127012 139894 158765 164302 173939 204287 254024 279788 317530 328604 347878 349735 408574 410755 450013 508048 559576 635060 657208 695756 699470 817148 821510 869695 900026 1021435 1119152 1270120 1314416 1391512 1398940 1634296 1643020 1739390 1800052 2042870 2250065 2540240 2783024 2797880 3268592 3286040 3478780 3600104 4085740 4500130 5595760 6572080 6957560 7200208 8171480 9000260 13915120 16342960 18000520 19655107 23084431 36001040 39310214 46168862 50851469 78620428 92337724 98275535 101702938 115422155 126453653 157240856 184675448 196551070 203405876 230844310 252907306 254257345 314481712 369350896 393102140 406811752 461688620 505814612 508514690 632268265 786204280 813623504 923377240 1011629224 1017029380 1264536530 1572408560 1846754480 2023258448 2034058760 2529073060 4068117520 5058146120 10116292240 14289262789 28578525578 57157051156 71446313945 114314102312 142892627890 228628204624 285785255780 571570511560 1143141023120