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1127250670144 = 264110712173299
BaseRepresentation
bin10000011001110101011…
…000000011001001000000
310222202122001000020120011
4100121311120003021000
5121432102132421034
62221503553554304
7144304215413314
oct20316530031100
93882561006504
101127250670144
113a5078685895
12162575b75994
13823b76a4571
143c7b871bb44
151e4c804d864
hex10675603240

1127250670144 has 112 divisors (see below), whose sum is σ = 2315463796800. Its totient is φ = 544126730240.

The previous prime is 1127250670081. The next prime is 1127250670151. The reversal of 1127250670144 is 4410760527211.

It is a junction number, because it is equal to n+sod(n) for n = 1127250670097 and 1127250670106.

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, 341693007 + ... + 341696305.

It is an arithmetic number, because the mean of its divisors is an integer number (20673783900).

Almost surely, 21127250670144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1127250670144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1157731898400).

1127250670144 is an abundant number, since it is smaller than the sum of its proper divisors (1188213126656).

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

1127250670144 is a wasteful number, since it uses less digits than its factorization.

1127250670144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4676 (or 4666 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 40.

The spelling of 1127250670144 in words is "one trillion, one hundred twenty-seven billion, two hundred fifty million, six hundred seventy thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 41 64 82 107 164 214 328 428 656 856 1217 1312 1712 2434 2624 3299 3424 4387 4868 6598 6848 8774 9736 13196 17548 19472 26392 35096 38944 49897 52784 70192 77888 99794 105568 130219 135259 140384 199588 211136 260438 270518 280768 352993 399176 520876 541036 705986 798352 1041752 1082072 1411972 1596704 2083504 2164144 2823944 3193408 4014883 4167008 4328288 5338979 5647888 8029766 8334016 8656576 10677958 11295776 14472713 16059532 21355916 22591552 28945426 32119064 42711832 57890852 64238128 85423664 115781704 128476256 164610203 170847328 231563408 256952512 329220406 341694656 429592481 463126816 658440812 859184962 926253632 1316881624 1718369924 2633763248 3436739848 5267526496 6873479696 10535052992 13746959392 17613291721 27493918784 35226583442 70453166884 140906333768 281812667536 563625335072 1127250670144