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23442011014240 = 2557131610028229
BaseRepresentation
bin1010101010010000001001…
…01111010100010001100000
310002000000221001102210112001
411111020010233110101200
511033033214304423430
6121505040003413344
74636425612635050
oct525100457242140
9102000831383461
1023442011014240
1175187790a3995
122767276084254
131010759036c80
145b0856a09560
152a9ba92e63ca
hex155204bd4460

23442011014240 has 96 divisors (see below), whose sum is σ = 68162155145280. Its totient is φ = 7419010074624.

The previous prime is 23442011014237. The next prime is 23442011014243. The reversal of 23442011014240 is 4241011024432.

It is an interprime number because it is at equal distance from previous prime (23442011014237) and next prime (23442011014243).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 23442011014199 and 23442011014208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23442011014243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 804999555 + ... + 805028674.

It is an arithmetic number, because the mean of its divisors is an integer number (710022449430).

Almost surely, 223442011014240 is an apocalyptic number.

23442011014240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23442011014240 is an abundant number, since it is smaller than the sum of its proper divisors (44720144131040).

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

23442011014240 is a wasteful number, since it uses less digits than its factorization.

23442011014240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1610028264 (or 1610028256 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 23442011014240 its reverse (4241011024432), we get a palindrome (27683022038672).

The spelling of 23442011014240 in words is "twenty-three trillion, four hundred forty-two billion, eleven million, fourteen thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 52 56 65 70 80 91 104 112 130 140 160 182 208 224 260 280 364 416 455 520 560 728 910 1040 1120 1456 1820 2080 2912 3640 7280 14560 1610028229 3220056458 6440112916 8050141145 11270197603 12880225832 16100282290 20930366977 22540395206 25760451664 32200564580 41860733954 45080790412 51520903328 56350988015 64401129160 83721467908 90161580824 104651834885 112701976030 128802258320 146512568839 167442935816 180323161648 209303669770 225403952060 257604516640 293025137678 334885871632 360646323296 418607339540 450807904120 586050275356 669771743264 732562844195 837214679080 901615808240 1172100550712 1465125688390 1674429358160 1803231616480 2344201101424 2930251376780 3348858716320 4688402202848 5860502753560 11721005507120 23442011014240