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1140122030240 = 25567877121271
BaseRepresentation
bin10000100101110100100…
…100011001000010100000
311000222212001202002020202
4100211310210121002200
5122134432214431430
62231433111524332
7145241200233434
oct20456444310240
94028761662222
101140122030240
113aa583188176
12164b686896a8
138368921587b
143d279d5c9c4
151e9cd03ed45
hex109749190a0

1140122030240 has 96 divisors (see below), whose sum is σ = 2736880078464. Its totient is φ = 448726164480.

The previous prime is 1140122030191. The next prime is 1140122030251. The reversal of 1140122030240 is 420302210411.

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

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, 9340805 + ... + 9462075.

It is an arithmetic number, because the mean of its divisors is an integer number (28509167484).

Almost surely, 21140122030240 is an apocalyptic number.

1140122030240 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 1140122030240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1368440039232).

1140122030240 is an abundant number, since it is smaller than the sum of its proper divisors (1596758048224).

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

1140122030240 is a wasteful number, since it uses less digits than its factorization.

1140122030240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122230 (or 122222 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 1140122030240 its reverse (420302210411), we get a palindrome (1560424240651).

The spelling of 1140122030240 in words is "one trillion, one hundred forty billion, one hundred twenty-two million, thirty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 67 80 134 160 268 335 536 670 877 1072 1340 1754 2144 2680 3508 4385 5360 7016 8770 10720 14032 17540 28064 35080 58759 70160 117518 121271 140320 235036 242542 293795 470072 485084 587590 606355 940144 970168 1175180 1212710 1880288 1940336 2350360 2425420 3880672 4700720 4850840 8125157 9401440 9701680 16250314 19403360 32500628 40625785 65001256 81251570 106354667 130002512 162503140 212709334 260005024 325006280 425418668 531773335 650012560 850837336 1063546670 1300025120 1701674672 2127093340 3403349344 4254186680 7125762689 8508373360 14251525378 17016746720 28503050756 35628813445 57006101512 71257626890 114012203024 142515253780 228024406048 285030507560 570061015120 1140122030240