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116351390040 = 233543139162221
BaseRepresentation
bin110110001011100010…
…1010101000101011000
3102010022201200000120020
41230113011111011120
53401241423440130
6125241234030440
711256203332404
oct1542705250530
9363281600506
10116351390040
1145387365496
121a671a18420
13ac83317772
1458ba942104
15305e9e0e10
hex1b17155158

116351390040 has 128 divisors (see below), whose sum is σ = 359743507200. Its totient is φ = 30087267840.

The previous prime is 116351390039. The next prime is 116351390041. The reversal of 116351390040 is 40093153611.

It is an interprime number because it is at equal distance from previous prime (116351390039) and next prime (116351390041).

It is a super-2 number, since 2×1163513900402 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 116351389983 and 116351390010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116351390041) by changing a digit.

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, 636130 + ... + 798350.

It is an arithmetic number, because the mean of its divisors is an integer number (2810496150).

Almost surely, 2116351390040 is an apocalyptic number.

116351390040 is a gapful number since it is divisible by the number (10) 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 116351390040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179871753600).

116351390040 is an abundant number, since it is smaller than the sum of its proper divisors (243392117160).

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

116351390040 is a wasteful number, since it uses less digits than its factorization.

116351390040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162417 (or 162413 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The spelling of 116351390040 in words is "one hundred sixteen billion, three hundred fifty-one million, three hundred ninety thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 43 60 86 120 129 139 172 215 258 278 344 417 430 516 556 645 695 834 860 1032 1112 1290 1390 1668 1720 2085 2580 2780 3336 4170 5160 5560 5977 8340 11954 16680 17931 23908 29885 35862 47816 59770 71724 89655 119540 143448 162221 179310 239080 324442 358620 486663 648884 717240 811105 973326 1297768 1622210 1946652 2433315 3244420 3893304 4866630 6488840 6975503 9733260 13951006 19466520 20926509 22548719 27902012 34877515 41853018 45097438 55804024 67646157 69755030 83706036 90194876 104632545 112743595 135292314 139510060 167412072 180389752 209265090 225487190 270584628 279020120 338230785 418530180 450974380 541169256 676461570 837060360 901948760 969594917 1352923140 1939189834 2705846280 2908784751 3878379668 4847974585 5817569502 7756759336 9695949170 11635139004 14543923755 19391898340 23270278008 29087847510 38783796680 58175695020 116351390040