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1201140332040 = 2335111913475669
BaseRepresentation
bin10001011110101001100…
…010101111011000001000
311020211100112102222110110
4101132221202233120020
5124134413411111130
62315443553514320
7152531243236155
oct21365142573010
94224315388413
101201140332040
11423445449470
121749575729a0
138936191a3ac
14421c7b6522c
152139ed8bab0
hex117a98af608

1201140332040 has 128 divisors (see below), whose sum is σ = 3933067881600. Its totient is φ = 291032709120.

The previous prime is 1201140332017. The next prime is 1201140332069. The reversal of 1201140332040 is 402330411021.

It is a super-2 number, since 2×12011403320402 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1201140331998 and 1201140332016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2287326 + ... + 2762994.

It is an arithmetic number, because the mean of its divisors is an integer number (30727092825).

Almost surely, 21201140332040 is an apocalyptic number.

1201140332040 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 1201140332040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1966533940800).

1201140332040 is an abundant number, since it is smaller than the sum of its proper divisors (2731927549560).

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

1201140332040 is a wasteful number, since it uses less digits than its factorization.

1201140332040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477607 (or 477603 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 1201140332040 its reverse (402330411021), we get a palindrome (1603470743061).

The spelling of 1201140332040 in words is "one trillion, two hundred one billion, one hundred forty million, three hundred thirty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 1913 3826 5739 7652 9565 11478 15304 19130 21043 22956 28695 38260 42086 45912 57390 63129 76520 84172 105215 114780 126258 168344 210430 229560 252516 315645 420860 475669 505032 631290 841720 951338 1262580 1427007 1902676 2378345 2525160 2854014 3805352 4756690 5232359 5708028 7135035 9513380 10464718 11416056 14270070 15697077 19026760 20929436 26161795 28540140 31394154 41858872 52323590 57080280 62788308 78485385 104647180 125576616 156970770 209294360 313941540 627883080 909954797 1819909594 2729864391 3639819188 4549773985 5459728782 7279638376 9099547970 10009502767 10919457564 13649321955 18199095940 20019005534 21838915128 27298643910 30028508301 36398191880 40038011068 50047513835 54597287820 60057016602 80076022136 100095027670 109194575640 120114033204 150142541505 200190055340 240228066408 300285083010 400380110680 600570166020 1201140332040