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1140311801988 = 2233431511626127
BaseRepresentation
bin10000100101111111111…
…000010100000010000100
311001000100021211111011000
4100211333320110002010
5122140324310130423
62231504011213300
7145245663251022
oct20457770240204
94030307744130
101140311801988
113aa670314527
12165000147230
13836b962b448
143d29723b712
151e9dea28843
hex1097fe14084

1140311801988 has 96 divisors (see below), whose sum is σ = 3045152337920. Its totient is φ = 368805376800.

The previous prime is 1140311801921. The next prime is 1140311802011. The reversal of 1140311801988 is 8891081130411.

1140311801988 is a `hidden beast` number, since 1 + 140 + 311 + 8 + 0 + 198 + 8 = 666.

It is a super-5 number, since 5×11403118019885 (a number of 61 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 111820 + ... + 1514307.

Almost surely, 21140311801988 is an apocalyptic number.

1140311801988 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1140311801988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1522576168960).

1140311801988 is an abundant number, since it is smaller than the sum of its proper divisors (1904840535932).

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

1140311801988 is a wasteful number, since it uses less digits than its factorization.

1140311801988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1626334 (or 1626326 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 45.

The spelling of 1140311801988 in words is "one trillion, one hundred forty billion, three hundred eleven million, eight hundred one thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 43 54 86 108 129 151 172 258 302 387 453 516 604 774 906 1161 1359 1548 1812 2322 2718 4077 4644 5436 6493 8154 12986 16308 19479 25972 38958 58437 77916 116874 175311 233748 350622 701244 1626127 3252254 4878381 6504508 9756762 14635143 19513524 29270286 43905429 58540572 69923461 87810858 139846922 175621716 209770383 245545177 279693844 419540766 491090354 629311149 736635531 839081532 982180708 1258622298 1473271062 1887933447 2209906593 2517244596 2946542124 3775866894 4419813186 6629719779 7551733788 8839626372 10558442611 13259439558 21116885222 26518879116 31675327833 42233770444 63350655666 95025983499 126701311332 190051966998 285077950497 380103933996 570155900994 1140311801988