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1131044636340 = 2232510758725059
BaseRepresentation
bin10000011101010111100…
…000111000011010110100
311000010102110000200202200
4100131113200320122310
5122012334411330330
62223332243504500
7144500224532253
oct20352740703264
94003373020680
101131044636340
113a6745235843
12163254688130
1382870708488
143ca5855c79a
151e64b176a60
hex107578386b4

1131044636340 has 72 divisors (see below), whose sum is σ = 3462899338080. Its totient is φ = 298793095104.

The previous prime is 1131044636299. The next prime is 1131044636383. The reversal of 1131044636340 is 436364401311.

1131044636340 is a `hidden beast` number, since 1 + 1 + 3 + 10 + 4 + 4 + 6 + 3 + 634 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1131044636295 and 1131044636304.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 29343270 + ... + 29381789.

It is an arithmetic number, because the mean of its divisors is an integer number (48095824140).

Almost surely, 21131044636340 is an apocalyptic number.

1131044636340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1131044636340 is an abundant number, since it is smaller than the sum of its proper divisors (2331854701740).

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

1131044636340 is a wasteful number, since it uses less digits than its factorization.

1131044636340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58725181 (or 58725176 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 1131044636340 in words is "one trillion, one hundred thirty-one billion, forty-four million, six hundred thirty-six thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 107 180 214 321 428 535 642 963 1070 1284 1605 1926 2140 3210 3852 4815 6420 9630 19260 58725059 117450118 176175177 234900236 293625295 352350354 528525531 587250590 704700708 880875885 1057051062 1174501180 1761751770 2114102124 2642627655 3523503540 5285255310 6283581313 10570510620 12567162626 18850743939 25134325252 31417906565 37701487878 56552231817 62835813130 75402975756 94253719695 113104463634 125671626260 188507439390 226208927268 282761159085 377014878780 565522318170 1131044636340