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1134414034040 = 235730713196999
BaseRepresentation
bin10000100000100000010…
…110000111010001111000
311000110010021010211111002
4100200200112013101320
5122041234443042130
62225050445424132
7144646560122210
oct20404026072170
94013107124432
101134414034040
113a811416a141
12163a34b6b048
1382c897a8121
143cc97c41240
151e796d86b45
hex10820587478

1134414034040 has 64 divisors (see below), whose sum is σ = 2926566720000. Its totient is φ = 387675013248.

The previous prime is 1134414034037. The next prime is 1134414034051. The reversal of 1134414034040 is 404304144311.

It is a junction number, because it is equal to n+sod(n) for n = 1134414033994 and 1134414034012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6512540 + ... + 6684459.

It is an arithmetic number, because the mean of its divisors is an integer number (45727605000).

Almost surely, 21134414034040 is an apocalyptic number.

1134414034040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1134414034040 is an abundant number, since it is smaller than the sum of its proper divisors (1792152685960).

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

1134414034040 is a wasteful number, since it uses less digits than its factorization.

1134414034040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13197324 (or 13197320 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 1134414034040 its reverse (404304144311), we get a palindrome (1538718178351).

The spelling of 1134414034040 in words is "one trillion, one hundred thirty-four billion, four hundred fourteen million, thirty-four thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 307 614 1228 1535 2149 2456 3070 4298 6140 8596 10745 12280 17192 21490 42980 85960 13196999 26393998 52787996 65984995 92378993 105575992 131969990 184757986 263939980 369515972 461894965 527879960 739031944 923789930 1847579860 3695159720 4051478693 8102957386 16205914772 20257393465 28360350851 32411829544 40514786930 56720701702 81029573860 113441403404 141801754255 162059147720 226882806808 283603508510 567207017020 1134414034040