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4103011132440 = 23351127191143193
BaseRepresentation
bin111011101101001110100…
…001010110010000011000
3112112020120220022102100120
4323231032201112100120
51014210431322214230
612420521452033240
7602301304121313
oct73551641262030
915466526272316
104103011132440
111342093901080
12563236162820
13239bb23b983c
1410283026397a
1571ade737310
hex3bb4e856418

4103011132440 has 128 divisors (see below), whose sum is σ = 13432986777600. Its totient is φ = 994302673920.

The previous prime is 4103011132397. The next prime is 4103011132457. The reversal of 4103011132440 is 442311103014.

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 4103011132440.

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, 3017484 + ... + 4160676.

It is an arithmetic number, because the mean of its divisors is an integer number (104945209200).

Almost surely, 24103011132440 is an apocalyptic number.

4103011132440 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 4103011132440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6716493388800).

4103011132440 is an abundant number, since it is smaller than the sum of its proper divisors (9329975645160).

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

4103011132440 is a wasteful number, since it uses less digits than its factorization.

4103011132440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1145937 (or 1145933 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 4103011132440 its reverse (442311103014), we get a palindrome (4545322235454).

The spelling of 4103011132440 in words is "four trillion, one hundred three billion, eleven million, one hundred thirty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 2719 5438 8157 10876 13595 16314 21752 27190 29909 32628 40785 54380 59818 65256 81570 89727 108760 119636 149545 163140 179454 239272 299090 326280 358908 448635 598180 717816 897270 1143193 1196360 1794540 2286386 3429579 3589080 4572772 5715965 6859158 9145544 11431930 12575123 13718316 17147895 22863860 25150246 27436632 34295790 37725369 45727720 50300492 62875615 68591580 75450738 100600984 125751230 137183160 150901476 188626845 251502460 301802952 377253690 503004920 754507380 1509014760 3108341767 6216683534 9325025301 12433367068 15541708835 18650050602 24866734136 31083417670 34191759437 37300101204 46625126505 62166835340 68383518874 74600202408 93250253010 102575278311 124333670680 136767037748 170958797185 186500506020 205150556622 273534075496 341917594370 373001012040 410301113244 512876391555 683835188740 820602226488 1025752783110 1367670377480 2051505566220 4103011132440