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1141246040 = 2351117271563
BaseRepresentation
bin100010000000110…
…0000100001011000
32221112110022020212
41010001200201120
54314124333130
6305124510252
740165300634
oct10401404130
92845408225
101141246040
11536227050
1227a24b388
1315259271c
14ab7d7dc4
156a2d1e95
hex44060858

1141246040 has 128 divisors (see below), whose sum is σ = 2982251520. Its totient is φ = 388454400.

The previous prime is 1141246037. The next prime is 1141246063. The reversal of 1141246040 is 406421411.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1141245997 and 1141246015.

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, 2026799 + ... + 2027361.

It is an arithmetic number, because the mean of its divisors is an integer number (23298840).

Almost surely, 21141246040 is an apocalyptic number.

1141246040 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 1141246040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1491125760).

1141246040 is an abundant number, since it is smaller than the sum of its proper divisors (1841005480).

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

1141246040 is a wasteful number, since it uses less digits than its factorization.

1141246040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 873 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 1141246040 is about 33782.3332527521. Note that the first 3 decimals coincide. The cubic root of 1141246040 is about 1045.0243929503.

Adding to 1141246040 its reverse (406421411), we get a palindrome (1547667451).

The spelling of 1141246040 in words is "one billion, one hundred forty-one million, two hundred forty-six thousand, forty".

Divisors: 1 2 4 5 8 10 11 17 20 22 34 40 44 55 68 85 88 110 136 170 187 220 271 340 374 440 542 563 680 748 935 1084 1126 1355 1496 1870 2168 2252 2710 2815 2981 3740 4504 4607 5420 5630 5962 6193 7480 9214 9571 10840 11260 11924 12386 14905 18428 19142 22520 23035 23848 24772 29810 30965 36856 38284 46070 47855 49544 50677 59620 61930 76568 92140 95710 101354 105281 119240 123860 152573 184280 191420 202708 210562 247720 253385 305146 382840 405416 421124 506770 526405 610292 762865 842248 1013540 1052810 1220584 1525730 1678303 2027080 2105620 2593741 3051460 3356606 4211240 5187482 6102920 6713212 8391515 10374964 12968705 13426424 16783030 20749928 25937410 28531151 33566060 51874820 57062302 67132120 103749640 114124604 142655755 228249208 285311510 570623020 1141246040