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4404037403744 = 251112798515511
BaseRepresentation
bin100000000010110010100…
…0101011100010001100000
3120121000120221100102122222
41000011211011130101200
51034123432033404434
613211104205450212
7633116103163406
oct100054505342140
916530527312588
104404037403744
111448818335180
125b1647270968
1325c3b6a23374
141132297d1476
157985c06672e
hex4016515c460

4404037403744 has 48 divisors (see below), whose sum is σ = 9533149065216. Its totient is φ = 1986072681600.

The previous prime is 4404037403741. The next prime is 4404037403749. The reversal of 4404037403744 is 4473047304044.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 4404037403695 and 4404037403704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4404037403741) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49213052 + ... + 49302459.

It is an arithmetic number, because the mean of its divisors is an integer number (198607272192).

Almost surely, 24404037403744 is an apocalyptic number.

4404037403744 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4404037403744 is an abundant number, since it is smaller than the sum of its proper divisors (5129111661472).

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

4404037403744 is a wasteful number, since it uses less digits than its factorization.

4404037403744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98515659 (or 98515651 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 44.

The spelling of 4404037403744 in words is "four trillion, four hundred four billion, thirty-seven million, four hundred three thousand, seven hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 127 176 254 352 508 1016 1397 2032 2794 4064 5588 11176 22352 44704 98515511 197031022 394062044 788124088 1083670621 1576248176 2167341242 3152496352 4334682484 8669364968 12511469897 17338729936 25022939794 34677459872 50045879588 100091759176 137626168867 200183518352 275252337734 400367036704 550504675468 1101009350936 2202018701872 4404037403744