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1134435045141 = 331914401153557
BaseRepresentation
bin10000100000100001100…
…110010000111100010101
311000110011201200022022000
4100200201212100330111
5122041310332421031
62225052520025513
7144650233532106
oct20404146207425
94013151608260
101134435045141
113a8125010092
12163a40002299
1382c90c53828
143cc9a9503ad
151e798b373e6
hex10821990f15

1134435045141 has 32 divisors (see below), whose sum is σ = 1769233852800. Its totient is φ = 716430873600.

The previous prime is 1134435045071. The next prime is 1134435045173. The reversal of 1134435045141 is 1415405344311.

1134435045141 is a `hidden beast` number, since 1 + 1 + 3 + 4 + 4 + 3 + 504 + 5 + 141 = 666.

It is not a de Polignac number, because 1134435045141 - 27 = 1134435045013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1134435045096 and 1134435045105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1134435049141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7310935 + ... + 7464491.

It is an arithmetic number, because the mean of its divisors is an integer number (55288557900).

Almost surely, 21134435045141 is an apocalyptic number.

It is an amenable number.

1134435045141 is a deficient number, since it is larger than the sum of its proper divisors (634798807659).

1134435045141 is a wasteful number, since it uses less digits than its factorization.

1134435045141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167986 (or 167980 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 1134435045141 in words is "one trillion, one hundred thirty-four billion, four hundred thirty-five million, forty-five thousand, one hundred forty-one".

Divisors: 1 3 9 19 27 57 171 513 14401 43203 129609 153557 273619 388827 460671 820857 1382013 2462571 2917583 4146039 7387713 8752749 26258247 78774741 2211374357 6634123071 19902369213 42016112783 59707107639 126048338349 378145015047 1134435045141