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110411431424 = 29747798297
BaseRepresentation
bin110011011010100001…
…0001011111000000000
3101112222202120212011222
41212311002023320000
53302110311301144
6122420004054212
710656045452660
oct1466502137000
9345882525158
10110411431424
1142909413688
1219494694368
13a547811758
1454b5ac21a0
152d132b82ee
hex19b508be00

110411431424 has 160 divisors (see below), whose sum is σ = 260777594880. Its totient is φ = 45720649728.

The previous prime is 110411431379. The next prime is 110411431433. The reversal of 110411431424 is 424134114011.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 110411431393 and 110411431402.

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, 13303244 + ... + 13311540.

It is an arithmetic number, because the mean of its divisors is an integer number (1629859968).

Almost surely, 2110411431424 is an apocalyptic number.

110411431424 is a gapful number since it is divisible by the number (14) 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 110411431424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130388797440).

110411431424 is an abundant number, since it is smaller than the sum of its proper divisors (150366163456).

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

110411431424 is an frugal number, since it uses more digits than its factorization.

110411431424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8448 (or 8432 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

Adding to 110411431424 its reverse (424134114011), we get a palindrome (534545545435).

The spelling of 110411431424 in words is "one hundred ten billion, four hundred eleven million, four hundred thirty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 47 56 64 79 94 112 128 158 188 224 256 316 329 376 448 512 553 632 658 752 896 1106 1264 1316 1504 1792 2212 2528 2632 3008 3584 3713 4424 5056 5264 6016 7426 8297 8848 10112 10528 12032 14852 16594 17696 20224 21056 24064 25991 29704 33188 35392 40448 42112 51982 58079 59408 66376 70784 84224 103964 116158 118816 132752 141568 168448 207928 232316 237632 265504 283136 389959 415856 464632 475264 531008 655463 779918 831712 929264 950528 1062016 1310926 1559836 1663424 1858528 1901056 2124032 2621852 2729713 3119672 3326848 3717056 4248064 4588241 5243704 5459426 6239344 6653696 7434112 9176482 10487408 10918852 12478688 13307392 14868224 18352964 20974816 21837704 24957376 29736448 30806761 36705928 41949632 43675408 49914752 61613522 73411856 83899264 87350816 99829504 123227044 146823712 167798528 174701632 199659008 215647327 246454088 293647424 335597056 349403264 431294654 492908176 587294848 698806528 862589308 985816352 1174589696 1397613056 1725178616 1971632704 2349179392 3450357232 3943265408 6900714464 7886530816 13801428928 15773061632 27602857856 55205715712 110411431424