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1041146540434 = 2711131537333829
BaseRepresentation
bin11110010011010010010…
…10110111000110010010
310200112101021220020210001
433021221022313012102
5114024232003243214
62114143543400214
7135135403401220
oct17115112670622
93615337806701
101041146540434
11371603096810
12149945a5306a
1377244a455a0
143856adc9b10
151c138c28c74
hexf2692b7192

1041146540434 has 64 divisors (see below), whose sum is σ = 2097052957440. Its totient is φ = 374402891520.

The previous prime is 1041146540359. The next prime is 1041146540503. The reversal of 1041146540434 is 4340456411401.

1041146540434 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10411465404342 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1041146540393 and 1041146540402.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30759832 + ... + 30793660.

It is an arithmetic number, because the mean of its divisors is an integer number (32766452460).

Almost surely, 21041146540434 is an apocalyptic number.

1041146540434 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1041146540434 is an abundant number, since it is smaller than the sum of its proper divisors (1055906417006).

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

1041146540434 is a wasteful number, since it uses less digits than its factorization.

1041146540434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49235.

The product of its (nonzero) digits is 92160, while the sum is 37.

The spelling of 1041146540434 in words is "one trillion, forty-one billion, one hundred forty-six million, five hundred forty thousand, four hundred thirty-four".

Divisors: 1 2 7 11 13 14 22 26 77 91 143 154 182 286 1001 2002 15373 30746 33829 67658 107611 169103 199849 215222 236803 338206 372119 399698 439777 473606 744238 879554 1183721 1398943 2198339 2367442 2604833 2797886 3078439 4396678 4837547 5209666 6156878 9675094 15388373 30776746 33862829 67725658 520053217 1040106434 3640372519 5720585387 6760691821 7280745038 11441170774 13521383642 40044097709 47324842747 74367610031 80088195418 94649685494 148735220062 520573270217 1041146540434