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1143224211040 = 255231258924677
BaseRepresentation
bin10000101000101101011…
…110010001011001100000
311001021212021001012021221
4100220231132101121200
5122212310344223130
62233105010224424
7145411106313352
oct20505536213140
94037767035257
101143224211040
1140092529955a
12165693585114
1383a61b25402
143d491d630d2
151eb1056987a
hex10a2d791660

1143224211040 has 96 divisors (see below), whose sum is σ = 2818634293440. Its totient is φ = 437355055104.

The previous prime is 1143224210987. The next prime is 1143224211043. The reversal of 1143224211040 is 401124223411.

It is a junction number, because it is equal to n+sod(n) for n = 1143224210996 and 1143224211014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1143224211043) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 46315182 + ... + 46339858.

It is an arithmetic number, because the mean of its divisors is an integer number (29360773890).

Almost surely, 21143224211040 is an apocalyptic number.

1143224211040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1143224211040 is an abundant number, since it is smaller than the sum of its proper divisors (1675410082400).

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

1143224211040 is a wasteful number, since it uses less digits than its factorization.

1143224211040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37304 (or 37296 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 1143224211040 its reverse (401124223411), we get a palindrome (1544348434451).

The spelling of 1143224211040 in words is "one trillion, one hundred forty-three billion, two hundred twenty-four million, two hundred eleven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 80 92 115 160 184 230 368 460 736 920 1840 3680 12589 24677 25178 49354 50356 62945 98708 100712 123385 125890 197416 201424 246770 251780 289547 394832 402848 493540 503560 567571 579094 789664 987080 1007120 1135142 1158188 1447735 1974160 2014240 2270284 2316376 2837855 2895470 3948320 4540568 4632752 5675710 5790940 9081136 9265504 11351420 11581880 18162272 22702840 23163760 45405680 46327520 90811360 310658753 621317506 1242635012 1553293765 2485270024 3106587530 4970540048 6213175060 7145151319 9941080096 12426350120 14290302638 24852700240 28580605276 35725756595 49705400480 57161210552 71451513190 114322421104 142903026380 228644842208 285806052760 571612105520 1143224211040