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1141224344540 = 2257227138126003
BaseRepresentation
bin10000100110110110010…
…001011000101111011100
311001002200212221110012022
4100212312101120233130
5122144211413011130
62232134330155312
7145310413605650
oct20466621305734
94032625843168
101141224344540
113aaa99433225
12165215882b38
13838036c6a57
143d342500a60
151ea44bd17e5
hex109b6458bdc

1141224344540 has 96 divisors (see below), whose sum is σ = 2753102145024. Its totient is φ = 389256180480.

The previous prime is 1141224344521. The next prime is 1141224344567. The reversal of 1141224344540 is 454434221411.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 1141224344540.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43875179 + ... + 43901181.

It is an arithmetic number, because the mean of its divisors is an integer number (28678147344).

Almost surely, 21141224344540 is an apocalyptic number.

1141224344540 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 1141224344540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1376551072512).

1141224344540 is an abundant number, since it is smaller than the sum of its proper divisors (1611877800484).

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

1141224344540 is a wasteful number, since it uses less digits than its factorization.

1141224344540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27627 (or 27625 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 35.

Adding to 1141224344540 its reverse (454434221411), we get a palindrome (1595658565951).

The spelling of 1141224344540 in words is "one trillion, one hundred forty-one billion, two hundred twenty-four million, three hundred forty-four thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 227 454 908 1135 1381 1589 2270 2762 3178 4540 5524 6356 6905 7945 9667 13810 15890 19334 26003 27620 31780 38668 48335 52006 96670 104012 130015 182021 193340 260030 313487 364042 520060 626974 728084 910105 1253948 1567435 1820210 2194409 3134870 3640420 4388818 5902681 6269740 8777636 10972045 11805362 21944090 23610724 29513405 35910143 41318767 43888180 59026810 71820286 82637534 118053620 143640572 165275068 179550715 206593835 251371001 359101430 413187670 502742002 718202860 826375340 1005484004 1256855005 2513710010 5027420020 8151602461 16303204922 32606409844 40758012305 57061217227 81516024610 114122434454 163032049220 228244868908 285306086135 570612172270 1141224344540