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42233312440 = 23511229392969
BaseRepresentation
bin100111010101010011…
…010011010010111000
311001000022102120020001
4213111103103102320
51142443211444230
631222434242344
73023403142534
oct472523232270
9131008376201
1042233312440
1116a02670800
128227a263b4
133ca0978807
14208903abc4
151172ad40ca
hex9d54d34b8

42233312440 has 96 divisors (see below), whose sum is σ = 104519646000. Its totient is φ = 15347171840.

The previous prime is 42233312437. The next prime is 42233312441. The reversal of 42233312440 is 4421333224.

42233312440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 42233312399 and 42233312408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42233312441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14223276 + ... + 14226244.

Almost surely, 242233312440 is an apocalyptic number.

42233312440 is a gapful number since it is divisible by the number (40) 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 42233312440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52259823000).

42233312440 is an abundant number, since it is smaller than the sum of its proper divisors (62286333560).

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

42233312440 is a wasteful number, since it uses less digits than its factorization.

42233312440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5941 (or 5926 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 42233312440 its reverse (4421333224), we get a palindrome (46654645664).

The spelling of 42233312440 in words is "forty-two billion, two hundred thirty-three million, three hundred twelve thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 440 484 605 968 1210 2420 2939 2969 4840 5878 5938 11756 11876 14695 14845 23512 23752 29390 29690 32329 32659 58780 59380 64658 65318 117560 118760 129316 130636 161645 163295 258632 261272 323290 326590 355619 359249 646580 653180 711238 718498 1293160 1306360 1422476 1436996 1778095 1796245 2844952 2873992 3556190 3592490 7112380 7184980 8725891 14224760 14369960 17451782 34903564 43629455 69807128 87258910 95984801 174517820 191969602 349035640 383939204 479924005 767878408 959848010 1055832811 1919696020 2111665622 3839392040 4223331244 5279164055 8446662488 10558328110 21116656220 42233312440