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1140040331034 = 23111943129716301
BaseRepresentation
bin10000100101101111101…
…100101110111100011010
311000222122101000100000020
4100211233230232330122
5122134300311043114
62231421032451310
7145236155632353
oct20455754567432
94028571010006
101140040331034
113aa541056370
12164b45249b36
138367530bc47
143d26d172d2a
151e9c5ca2aa9
hex1096fb2ef1a

1140040331034 has 128 divisors (see below), whose sum is σ = 2681394693120. Its totient is φ = 319406976000.

The previous prime is 1140040331029. The next prime is 1140040331039. The reversal of 1140040331034 is 4301330400411.

It is an interprime number because it is at equal distance from previous prime (1140040331029) and next prime (1140040331039).

It is a super-2 number, since 2×11400403310342 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1140040330995 and 1140040331013.

It is not an unprimeable number, because it can be changed into a prime (1140040331039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 69928684 + ... + 69944984.

It is an arithmetic number, because the mean of its divisors is an integer number (20948396040).

Almost surely, 21140040331034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1140040331034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1340697346560).

1140040331034 is an abundant number, since it is smaller than the sum of its proper divisors (1541354362086).

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

1140040331034 is a wasteful number, since it uses less digits than its factorization.

1140040331034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17676.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 1140040331034 its reverse (4301330400411), we get a palindrome (5441370731445).

The spelling of 1140040331034 in words is "one trillion, one hundred forty billion, forty million, three hundred thirty-one thousand, thirty-four".

Divisors: 1 2 3 6 11 19 22 33 38 43 57 66 86 114 129 209 258 418 473 627 817 946 1254 1297 1419 1634 2451 2594 2838 3891 4902 7782 8987 14267 16301 17974 24643 26961 28534 32602 42801 48903 49286 53922 55771 73929 85602 97806 111542 147858 167313 179311 271073 309719 334626 358622 537933 542146 613481 619438 700943 813219 929157 1059649 1075866 1226962 1401886 1626438 1840443 1858314 2102829 2119298 3178947 3406909 3680886 4205658 6357894 6813818 7710373 10220727 11656139 13317917 15420746 20441454 21142397 23131119 23312278 26635834 34968417 39953751 42284794 46262238 63427191 69936834 79907502 126854382 146497087 232566367 292994174 401705543 439491261 465132734 697699101 803411086 878982522 909123071 1205116629 1395398202 1818246142 2410233258 2727369213 4418760973 5454738426 8837521946 10000353781 13256282919 17273338349 20000707562 26512565838 30001061343 34546676698 51820015047 60002122686 103640030094 190006721839 380013443678 570020165517 1140040331034