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1241013144 = 233710337151
BaseRepresentation
bin100100111111000…
…0101101110011000
310012111011222222210
41021332011232120
510020144410034
6323051115120
742516303060
oct11176055630
93174158883
101241013144
115875795a8
122a7742aa0
1316a154207
14bab683a0
1573e3c8e9
hex49f85b98

1241013144 has 64 divisors (see below), whose sum is σ = 3549680640. Its totient is φ = 354182400.

The previous prime is 1241013119. The next prime is 1241013157. The reversal of 1241013144 is 4413101421.

It is a super-2 number, since 2×12410131442 = 3080227247161529472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 1241013144.

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, 169969 + ... + 177119.

It is an arithmetic number, because the mean of its divisors is an integer number (55463760).

Almost surely, 21241013144 is an apocalyptic number.

1241013144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1241013144 is an abundant number, since it is smaller than the sum of its proper divisors (2308667496).

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

1241013144 is a wasteful number, since it uses less digits than its factorization.

1241013144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8200 (or 8196 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 1241013144 is about 35228.0164641724. The cubic root of 1241013144 is about 1074.6295876152.

Adding to 1241013144 its reverse (4413101421), we get a palindrome (5654114565).

The spelling of 1241013144 in words is "one billion, two hundred forty-one million, thirteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 1033 2066 3099 4132 6198 7151 7231 8264 12396 14302 14462 21453 21693 24792 28604 28924 42906 43386 50057 57208 57848 85812 86772 100114 150171 171624 173544 200228 300342 400456 600684 1201368 7386983 14773966 22160949 29547932 44321898 51708881 59095864 88643796 103417762 155126643 177287592 206835524 310253286 413671048 620506572 1241013144