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11413311155140 = 22517711972399983
BaseRepresentation
bin1010011000010101111001…
…0110110110101111000100
31111102002202021111210101011
42212011132112312233010
52443443430123431030
640135111444012004
72255404330061656
oct246053626665704
944362667453334
1011413311155140
1137003a366a174
121343b86991004
1364a36973944b
142b659b53c6d6
1514bd469b8b2a
hexa615e5b6bc4

11413311155140 has 96 divisors (see below), whose sum is σ = 25865913959424. Its totient is φ = 4214752389120.

The previous prime is 11413311155083. The next prime is 11413311155143. The reversal of 11413311155140 is 4155111331411.

It is a super-2 number, since 2×114133111551402 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11413311155143) 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 31 ways as a sum of consecutive naturals, for example, 3555589 + ... + 5955571.

It is an arithmetic number, because the mean of its divisors is an integer number (269436603744).

Almost surely, 211413311155140 is an apocalyptic number.

11413311155140 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 11413311155140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12932956979712).

11413311155140 is an abundant number, since it is smaller than the sum of its proper divisors (14452602804284).

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

11413311155140 is a wasteful number, since it uses less digits than its factorization.

11413311155140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2400277 (or 2400275 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 31.

Adding to 11413311155140 its reverse (4155111331411), we get a palindrome (15568422486551).

The spelling of 11413311155140 in words is "eleven trillion, four hundred thirteen billion, three hundred eleven million, one hundred fifty-five thousand, one hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 71 85 142 170 197 284 340 355 394 710 788 985 1207 1420 1970 2414 3349 3940 4828 6035 6698 12070 13396 13987 16745 24140 27974 33490 55948 66980 69935 139870 237779 279740 475558 951116 1188895 2377790 2399983 4755580 4799966 9599932 11999915 23999830 40799711 47999660 81599422 163198844 170398793 203998555 340797586 407997110 472796651 681595172 815994220 851993965 945593302 1703987930 1891186604 2363983255 2896779481 3407975860 4727966510 5793558962 8037543067 9455933020 11587117924 14483897405 16075086134 28967794810 32150172268 33568562221 40187715335 57935589620 67137124442 80375430670 134274248884 160750861340 167842811105 335685622210 570665557757 671371244420 1141331115514 2282662231028 2853327788785 5706655577570 11413311155140