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1110412231040 = 27571991245527
BaseRepresentation
bin10000001010001001101…
…110100000000110000000
310221011011112111220112102
4100022021232200012000
5121143111012343130
62210041043445532
7143140023142160
oct20121156400600
93834145456472
101110412231040
11398a17835312
1215b2569868a8
1380932cca228
143ba5c2965a0
151dd3eb3b645
hex10289ba0180

1110412231040 has 128 divisors (see below), whose sum is σ = 3049052544000. Its totient is φ = 378799331328.

The previous prime is 1110412231039. The next prime is 1110412231087. The reversal of 1110412231040 is 401322140111.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 268757 + ... + 1514283.

It is an arithmetic number, because the mean of its divisors is an integer number (23820723000).

Almost surely, 21110412231040 is an apocalyptic number.

1110412231040 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 1110412231040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1524526272000).

1110412231040 is an abundant number, since it is smaller than the sum of its proper divisors (1938640312960).

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

1110412231040 is a wasteful number, since it uses less digits than its factorization.

1110412231040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1245752 (or 1245740 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 1110412231040 its reverse (401322140111), we get a palindrome (1511734371151).

The spelling of 1110412231040 in words is "one trillion, one hundred ten billion, four hundred twelve million, two hundred thirty-one thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 199 224 280 320 398 448 560 640 796 896 995 1120 1393 1592 1990 2240 2786 3184 3980 4480 5572 6368 6965 7960 11144 12736 13930 15920 22288 25472 27860 31840 44576 55720 63680 89152 111440 127360 178304 222880 445760 891520 1245527 2491054 4982108 6227635 8718689 9964216 12455270 17437378 19928432 24910540 34874756 39856864 43593445 49821080 69749512 79713728 87186890 99642160 139499024 159427456 174373780 199284320 247859873 278998048 348747560 398568640 495719746 557996096 697495120 797137280 991439492 1115992192 1239299365 1394990240 1735019111 1982878984 2478598730 2789980480 3470038222 3965757968 4957197460 5579960960 6940076444 7931515936 8675095555 9914394920 13880152888 15863031872 17350191110 19828789840 27760305776 31726063744 34700382220 39657579680 55520611552 69400764440 79315159360 111041223104 138801528880 158630318720 222082446208 277603057760 555206115520 1110412231040