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2135333141040 = 243511808838311
BaseRepresentation
bin11111000100101011110…
…001011111101000110000
321120010200001000201202010
4133010223301133220300
5234441130241003130
64312543011522520
7310162355136411
oct37045361375060
97503601021663
102135333141040
117536539877a0
122a5a128b9440
131264902ca158
14754ca379808
153a8291510b0
hex1f12bc5fa30

2135333141040 has 80 divisors (see below), whose sum is σ = 7221308449536. Its totient is φ = 517656518400.

The previous prime is 2135333141021. The next prime is 2135333141107. The reversal of 2135333141040 is 401413335312.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2135333140989 and 2135333141007.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 404416516 + ... + 404421795.

Almost surely, 22135333141040 is an apocalyptic number.

2135333141040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2135333141040 is an abundant number, since it is smaller than the sum of its proper divisors (5085975308496).

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

2135333141040 is a wasteful number, since it uses less digits than its factorization.

2135333141040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 808838338 (or 808838332 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

Adding to 2135333141040 its reverse (401413335312), we get a palindrome (2536746476352).

The spelling of 2135333141040 in words is "two trillion, one hundred thirty-five billion, three hundred thirty-three million, one hundred forty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 808838311 1617676622 2426514933 3235353244 4044191555 4853029866 6470706488 8088383110 8897221421 9706059732 12132574665 12941412976 16176766220 17794442842 19412119464 24265149330 26691664263 32353532440 35588885684 38824238928 44486107105 48530298660 53383328526 64707064880 71177771368 88972214210 97060597320 106766657052 133458321315 142355542736 177944428420 194121194640 213533314104 266916642630 355888856840 427066628208 533833285260 711777713680 1067666570520 2135333141040