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1111114120040 = 235173637449269
BaseRepresentation
bin10000001010110011100…
…011111111101101101000
310221012222110020120020022
4100022303203333231220
5121201030203320130
62210234435420012
7143163305121611
oct20126343775550
93835873216208
101111114120040
11399247a54971
1215b411a54608
1380a1554b372
143bac75a2c08
151dd815837e5
hex102b38ffb68

1111114120040 has 64 divisors (see below), whose sum is σ = 2647799701200. Its totient is φ = 418185842688.

The previous prime is 1111114119991. The next prime is 1111114120043. The reversal of 1111114120040 is 400214111111.

It can be written as a sum of positive squares in 8 ways, for example, as 557378710084 + 553735409956 = 746578^2 + 744134^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (1111114120043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2248526 + ... + 2697794.

Almost surely, 21111114120040 is an apocalyptic number.

1111114120040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1111114120040 is an abundant number, since it is smaller than the sum of its proper divisors (1536685581160).

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

1111114120040 is a wasteful number, since it uses less digits than its factorization.

1111114120040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452934 (or 452930 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 1111114120040 its reverse (400214111111), we get a palindrome (1511328231151).

The spelling of 1111114120040 in words is "one trillion, one hundred eleven billion, one hundred fourteen million, one hundred twenty thousand, forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 3637 7274 14548 18185 29096 36370 61829 72740 123658 145480 247316 309145 449269 494632 618290 898538 1236580 1797076 2246345 2473160 3594152 4492690 7637573 8985380 15275146 17970760 30550292 38187865 61100584 76375730 152751460 305502920 1633991353 3267982706 6535965412 8169956765 13071930824 16339913530 27777853001 32679827060 55555706002 65359654120 111111412004 138889265005 222222824008 277778530010 555557060020 1111114120040