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112342003440 = 2435679537331
BaseRepresentation
bin110100010100000011…
…0101110111011110000
3101201222022022002010020
41220220012232323300
53320034023102230
6123335331003440
711054640162552
oct1505006567360
9351868262106
10112342003440
114370a14aa47
1219933139580
13a79478a764
14561a2674d2
152dc7a14810
hex1a281aeef0

112342003440 has 160 divisors (see below), whose sum is σ = 353877278976. Its totient is φ = 29475747840.

The previous prime is 112342003429. The next prime is 112342003457. The reversal of 112342003440 is 44300243211.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 112342003440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15320575 + ... + 15327905.

Almost surely, 2112342003440 is an apocalyptic number.

112342003440 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 112342003440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176938639488).

112342003440 is an abundant number, since it is smaller than the sum of its proper divisors (241535275536).

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

112342003440 is a wasteful number, since it uses less digits than its factorization.

112342003440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8367 (or 8361 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 112342003440 its reverse (44300243211), we get a palindrome (156642246651).

The spelling of 112342003440 in words is "one hundred twelve billion, three hundred forty-two million, three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 67 80 120 134 201 240 268 335 402 536 670 804 953 1005 1072 1340 1608 1906 2010 2680 2859 3216 3812 4020 4765 5360 5718 7331 7624 8040 9530 11436 14295 14662 15248 16080 19060 21993 22872 28590 29324 36655 38120 43986 45744 57180 58648 63851 73310 76240 87972 109965 114360 117296 127702 146620 175944 191553 219930 228720 255404 293240 319255 351888 383106 439860 491177 510808 586480 638510 766212 879720 957765 982354 1021616 1277020 1473531 1532424 1759440 1915530 1964708 2455885 2554040 2947062 3064848 3831060 3929416 4911770 5108080 5894124 6986443 7367655 7662120 7858832 9823540 11788248 13972886 14735310 15324240 19647080 20959329 23576496 27945772 29470620 34932215 39294160 41918658 55891544 58941240 69864430 83837316 104796645 111783088 117882480 139728860 167674632 209593290 279457720 335349264 419186580 468091681 558915440 838373160 936183362 1404275043 1676746320 1872366724 2340458405 2808550086 3744733448 4680916810 5617100172 7021375215 7489466896 9361833620 11234200344 14042750430 18723667240 22468400688 28085500860 37447334480 56171001720 112342003440