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134240141310 = 2351129101138883
BaseRepresentation
bin111110100000101010…
…1011111111111111110
3110211111102111202000120
41331001111133333332
54144410434010220
6141400304035410
712461411242242
oct1750125377776
9424442452016
10134240141310
1151a27073050
1222024902b66
13c8744964a2
1466d6690422
15375a221a40
hex1f4155fffe

134240141310 has 128 divisors (see below), whose sum is σ = 367187074560. Its totient is φ = 31109568000.

The previous prime is 134240141303. The next prime is 134240141353. The reversal of 134240141310 is 13141042431.

It is a super-2 number, since 2×1342401413102 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 897129 + ... + 1036011.

It is an arithmetic number, because the mean of its divisors is an integer number (2868649020).

Almost surely, 2134240141310 is an apocalyptic number.

134240141310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 134240141310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183593537280).

134240141310 is an abundant number, since it is smaller than the sum of its proper divisors (232946933250).

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

134240141310 is a wasteful number, since it uses less digits than its factorization.

134240141310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139034.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 134240141310 its reverse (13141042431), we get a palindrome (147381183741).

The spelling of 134240141310 in words is "one hundred thirty-four billion, two hundred forty million, one hundred forty-one thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 29 30 33 55 58 66 87 101 110 145 165 174 202 290 303 319 330 435 505 606 638 870 957 1010 1111 1515 1595 1914 2222 2929 3030 3190 3333 4785 5555 5858 6666 8787 9570 11110 14645 16665 17574 29290 32219 33330 43935 64438 87870 96657 138883 161095 193314 277766 322190 416649 483285 694415 833298 966570 1388830 1527713 2083245 3055426 4027607 4166490 4583139 7638565 8055214 9166278 12082821 14027183 15277130 20138035 22915695 24165642 28054366 40276070 42081549 44303677 45831390 60414105 70135915 84163098 88607354 120828210 132911031 140271830 154299013 210407745 221518385 265822062 308598026 406788307 420815490 443036770 462897039 664555155 771495065 813576614 925794078 1220364921 1329110310 1542990130 2033941535 2314485195 2440729842 4067883070 4474671377 4628970390 6101824605 8949342754 12203649210 13424014131 22373356885 26848028262 44746713770 67120070655 134240141310