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1143040114120 = 235831137514057
BaseRepresentation
bin10000101000100010011…
…111111111110111001000
311001021101102122002210111
4100220202133333313020
5122211421232122440
62233034432324104
7145403412442552
oct20504237776710
94037342562714
101143040114120
11400840388843
121656419a3634
1383a32948818
143d4757204d2
151eaee3024ea
hex10a227ffdc8

1143040114120 has 128 divisors (see below), whose sum is σ = 2630004733440. Its totient is φ = 447003648000.

The previous prime is 1143040114103. The next prime is 1143040114193. The reversal of 1143040114120 is 214110403411.

It is a junction number, because it is equal to n+sod(n) for n = 1143040114091 and 1143040114100.

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, 281743132 + ... + 281747188.

It is an arithmetic number, because the mean of its divisors is an integer number (20546911980).

Almost surely, 21143040114120 is an apocalyptic number.

1143040114120 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 1143040114120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1315002366720).

1143040114120 is an abundant number, since it is smaller than the sum of its proper divisors (1486964619320).

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

1143040114120 is a wasteful number, since it uses less digits than its factorization.

1143040114120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5015 (or 5011 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 1143040114120 its reverse (214110403411), we get a palindrome (1357150517531).

The spelling of 1143040114120 in words is "one trillion, one hundred forty-three billion, forty million, one hundred fourteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 83 113 166 226 332 415 452 565 664 751 830 904 1130 1502 1660 2260 3004 3320 3755 4057 4520 6008 7510 8114 9379 15020 16228 18758 20285 30040 32456 37516 40570 46895 62333 75032 81140 84863 93790 124666 162280 169726 187580 249332 311665 336731 339452 375160 424315 458441 498664 623330 673462 678904 848630 916882 1246660 1346924 1683655 1697260 1833764 2292205 2493320 2693848 3046807 3367310 3394520 3667528 4584410 6093614 6734620 7043629 9168820 12187228 13469240 14087258 15234035 18337640 24374456 28174516 30468070 35218145 38050603 56349032 60936140 70436290 76101206 121872280 140872580 152202412 190253015 252884981 281745160 304404824 344289191 380506030 505769962 688578382 761012060 1011539924 1264424905 1377156764 1522024120 1721445955 2023079848 2528849810 2754313528 3442891910 5057699620 6885783820 10115399240 13771567640 28576002853 57152005706 114304011412 142880014265 228608022824 285760028530 571520057060 1143040114120