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11412420040 = 2357532413191
BaseRepresentation
bin10101010000011101…
…11011010111001000
31002110100111000011201
422220032323113020
5141333034420130
65124235433544
7552544653430
oct125016732710
932410430151
1011412420040
1149270170aa
122265bb58b4
1310cb4c7188
147a39892c0
1546bda7bca
hex2a83bb5c8

11412420040 has 128 divisors (see below), whose sum is σ = 30033400320. Its totient is φ = 3821875200.

The previous prime is 11412420037. The next prime is 11412420049. The reversal of 11412420040 is 4002421411.

11412420040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (11412420049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3574845 + ... + 3578035.

It is an arithmetic number, because the mean of its divisors is an integer number (234635940).

Almost surely, 211412420040 is an apocalyptic number.

11412420040 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 11412420040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15016700160).

11412420040 is an abundant number, since it is smaller than the sum of its proper divisors (18620980280).

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

11412420040 is a wasteful number, since it uses less digits than its factorization.

11412420040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3503 (or 3499 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 11412420040 its reverse (4002421411), we get a palindrome (15414841451).

The spelling of 11412420040 in words is "eleven billion, four hundred twelve million, four hundred twenty thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 53 56 70 106 140 212 241 265 280 371 424 482 530 742 964 1060 1205 1484 1687 1855 1928 2120 2410 2968 3191 3374 3710 4820 6382 6748 7420 8435 9640 12764 12773 13496 14840 15955 16870 22337 25528 25546 31910 33740 44674 51092 63820 63865 67480 89348 89411 102184 111685 127640 127730 169123 178696 178822 223370 255460 338246 357644 446740 447055 510920 676492 715288 769031 845615 893480 894110 1183861 1352984 1538062 1691230 1788220 2367722 3076124 3382460 3576440 3845155 4735444 5383217 5919305 6152248 6764920 7690310 9470888 10766434 11838610 15380620 21532868 23677220 26916085 30761240 40758643 43065736 47354440 53832170 81517286 107664340 163034572 203793215 215328680 285310501 326069144 407586430 570621002 815172860 1141242004 1426552505 1630345720 2282484008 2853105010 5706210020 11412420040