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11234401040 = 2451722232179
BaseRepresentation
bin10100111011001111…
…10101101100010000
31001222221111201000102
422131213311230100
5141002001313130
65054440111532
7545253555542
oct123547655420
931887451012
1011234401040
114845587865
1222164655a8
1310a0667ba5
14788089692
1545b441645
hex29d9f5b10

11234401040 has 120 divisors (see below), whose sum is σ = 27884048640. Its totient is φ = 4208523264.

The previous prime is 11234401027. The next prime is 11234401081. The reversal of 11234401040 is 4010443211.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5154671 + ... + 5156849.

It is an arithmetic number, because the mean of its divisors is an integer number (232367072).

Almost surely, 211234401040 is an apocalyptic number.

11234401040 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 11234401040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13942024320).

11234401040 is an abundant number, since it is smaller than the sum of its proper divisors (16649647600).

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

11234401040 is a wasteful number, since it uses less digits than its factorization.

11234401040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2449 (or 2426 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 11234401040 its reverse (4010443211), we get a palindrome (15244844251).

The spelling of 11234401040 in words is "eleven billion, two hundred thirty-four million, four hundred one thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 223 272 289 340 446 578 680 892 1115 1156 1360 1445 1784 2179 2230 2312 2890 3568 3791 4358 4460 4624 5780 7582 8716 8920 10895 11560 15164 17432 17840 18955 21790 23120 30328 34864 37043 37910 43580 60656 64447 74086 75820 87160 128894 148172 151640 174320 185215 257788 296344 303280 322235 370430 485917 515576 592688 629731 644470 740860 971834 1031152 1259462 1288940 1481720 1943668 2429585 2518924 2577880 2963440 3148655 3887336 4859170 5037848 5155760 6297310 7774672 8260589 9718340 10075696 12594620 16521178 19436680 25189240 33042356 38873360 41302945 50378480 66084712 82605890 132169424 140430013 165211780 280860026 330423560 561720052 660847120 702150065 1123440104 1404300130 2246880208 2808600260 5617200520 11234401040