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11414024440 = 2357134176481
BaseRepresentation
bin10101010000101010…
…00011000011111000
31002110110111111222221
422220111003003320
5141333442240230
65124334053424
7552564415120
oct125025030370
932413444887
1011414024440
114927a12555
12226664a274
1310cb939520
147a3c85c80
1546c0c327a
hex2a85430f8

11414024440 has 128 divisors (see below), whose sum is σ = 32379419520. Its totient is φ = 3524198400.

The previous prime is 11414024429. The next prime is 11414024441. The reversal of 11414024440 is 4442041411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11414024441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 111000 + ... + 187480.

It is an arithmetic number, because the mean of its divisors is an integer number (252964215).

Almost surely, 211414024440 is an apocalyptic number.

11414024440 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 11414024440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16189709760).

11414024440 is an abundant number, since it is smaller than the sum of its proper divisors (20965395080).

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

11414024440 is a wasteful number, since it uses less digits than its factorization.

11414024440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76553 (or 76549 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

Adding to 11414024440 its reverse (4442041411), we get a palindrome (15856065851).

The spelling of 11414024440 in words is "eleven billion, four hundred fourteen million, twenty-four thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 41 52 56 65 70 82 91 104 130 140 164 182 205 260 280 287 328 364 410 455 520 533 574 728 820 910 1066 1148 1435 1640 1820 2132 2296 2665 2870 3640 3731 4264 5330 5740 7462 10660 11480 14924 18655 21320 29848 37310 74620 76481 149240 152962 305924 382405 535367 611848 764810 994253 1070734 1529620 1988506 2141468 2676835 3059240 3135721 3977012 4282936 4971265 5353670 6271442 6959771 7954024 9942530 10707340 12542884 13919542 15678605 19885060 21414680 21950047 25085768 27839084 31357210 34798855 39770120 40764373 43900094 55678168 62714420 69597710 81528746 87800188 109750235 125428840 139195420 163057492 175600376 203821865 219500470 278390840 285350611 326114984 407643730 439000940 570701222 815287460 878001880 1141402444 1426753055 1630574920 2282804888 2853506110 5707012220 11414024440