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1023040894032 = 243229832951579
BaseRepresentation
bin11101110001100011111…
…11010011010001010000
310121210122110221010010200
432320301333103101100
5113230141432102112
62101551204455200
7133624623056133
oct16706177232120
93553573833120
101023040894032
11364961a06683
121463323aa500
137561a975451
143773053c21a
151b929452cdc
hexee31fd3450

1023040894032 has 120 divisors (see below), whose sum is σ = 2997506584800. Its totient is φ = 325287508224.

The previous prime is 1023040894027. The next prime is 1023040894111. The reversal of 1023040894032 is 2304980403201.

1023040894032 is a `hidden beast` number, since 10 + 230 + 4 + 0 + 8 + 9 + 403 + 2 = 666.

It is a super-2 number, since 2×10230408940322 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1129182 + ... + 1822397.

It is an arithmetic number, because the mean of its divisors is an integer number (24979221540).

Almost surely, 21023040894032 is an apocalyptic number.

1023040894032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1023040894032 is an abundant number, since it is smaller than the sum of its proper divisors (1974465690768).

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

1023040894032 is a wasteful number, since it uses less digits than its factorization.

1023040894032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2951705 (or 2951696 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 1023040894032 in words is "one trillion, twenty-three billion, forty million, eight hundred ninety-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 83 87 116 144 166 174 232 249 261 332 348 464 498 522 664 696 747 996 1044 1328 1392 1494 1992 2088 2407 2988 3984 4176 4814 5976 7221 9628 11952 14442 19256 21663 28884 38512 43326 57768 86652 115536 173304 346608 2951579 5903158 8854737 11806316 17709474 23612632 26564211 35418948 47225264 53128422 70837896 85595791 106256844 141675792 171191582 212513688 244981057 256787373 342383164 425027376 489962114 513574746 684766328 734943171 770362119 979924228 1027149492 1369532656 1469886342 1540724238 1959848456 2054298984 2204829513 2939772684 3081448476 3919696912 4108597968 4409659026 5879545368 6162896952 7104450653 8819318052 11759090736 12325793904 14208901306 17638636104 21313351959 28417802612 35277272208 42626703918 56835605224 63940055877 85253407836 113671210448 127880111754 170506815672 255760223508 341013631344 511520447016 1023040894032