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1120414304040 = 233510787259681
BaseRepresentation
bin10000010011011101111…
…001011000011100101000
310222002222121011212021120
4100103131321120130220
5121324102030212130
62214413342535240
7143642624306643
oct20233571303450
93862877155246
101120414304040
113a218a735849
12161188597520
1381868262115
143c32a7d8a5a
151e227ca8910
hex104dde58728

1120414304040 has 64 divisors (see below), whose sum is σ = 3392656436160. Its totient is φ = 295984834560.

The previous prime is 1120414304033. The next prime is 1120414304041. The reversal of 1120414304040 is 404034140211.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1120414304040.

It is not an unprimeable number, because it can be changed into a prime (1120414304041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43617001 + ... + 43642680.

It is an arithmetic number, because the mean of its divisors is an integer number (53010256815).

Almost surely, 21120414304040 is an apocalyptic number.

1120414304040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1120414304040 is an abundant number, since it is smaller than the sum of its proper divisors (2272242132120).

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

1120414304040 is a wasteful number, since it uses less digits than its factorization.

1120414304040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87259802 (or 87259798 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 1120414304040 its reverse (404034140211), we get a palindrome (1524448444251).

The spelling of 1120414304040 in words is "one trillion, one hundred twenty billion, four hundred fourteen million, three hundred four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 107 120 214 321 428 535 642 856 1070 1284 1605 2140 2568 3210 4280 6420 12840 87259681 174519362 261779043 349038724 436298405 523558086 698077448 872596810 1047116172 1308895215 1745193620 2094232344 2617790430 3490387240 5235580860 9336785867 10471161720 18673571734 28010357601 37347143468 46683929335 56020715202 74694286936 93367858670 112041430404 140051788005 186735717340 224082860808 280103576010 373471434680 560207152020 1120414304040