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404023311033440 = 2557298175249423
BaseRepresentation
bin101101111011101010000000…
…1111011110110010001100000
31221222112020210012210000022212
41123313110001323312101200
5410424004220111032230
63551141425145221252
7151046502200310200
oct13367240173662140
91858466705700285
10404023311033440
1110780936223775a
1239392511491828
13144593089974a7
1471aab928bc400
1531a9890886895
hex16f7501ef6460

404023311033440 has 144 divisors (see below), whose sum is σ = 1110455950750272. Its totient is φ = 138508141234176.

The previous prime is 404023311033371. The next prime is 404023311033499. The reversal of 404023311033440 is 44330113320404.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 404023311033397 and 404023311033406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74340569 + ... + 79589991.

It is an arithmetic number, because the mean of its divisors is an integer number (7711499657988).

Almost surely, 2404023311033440 is an apocalyptic number.

404023311033440 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 404023311033440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555227975375136).

404023311033440 is an abundant number, since it is smaller than the sum of its proper divisors (706432639716832).

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

404023311033440 is a wasteful number, since it uses less digits than its factorization.

404023311033440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5259269 (or 5259254 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 404023311033440 its reverse (44330113320404), we get a palindrome (448353424353844).

The spelling of 404023311033440 in words is "four hundred four trillion, twenty-three billion, three hundred eleven million, thirty-three thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 70 80 98 112 140 160 196 224 245 280 392 490 560 784 980 1120 1568 1960 3920 7840 9817 19634 39268 49085 68719 78536 98170 137438 157072 196340 274876 314144 343595 392680 481033 549752 687190 785360 962066 1099504 1374380 1570720 1924132 2199008 2405165 2748760 3848264 4810330 5249423 5497520 7696528 9620660 10498846 10995040 15393056 19241320 20997692 26247115 36745961 38482640 41995384 52494230 73491922 76965280 83990768 104988460 146983844 167981536 183729805 209976920 257221727 293967688 367459610 419953840 514443454 587935376 734919220 839907680 1028886908 1175870752 1286108635 1469838440 2057773816 2572217270 2939676880 4115547632 5144434540 5879353760 8231095264 10288869080 20577738160 41155476320 51533585591 103067171182 206134342364 257667927955 360735099137 412268684728 515335855910 721470198274 824537369456 1030671711820 1442940396548 1649074738912 1803675495685 2061343423640 2525145693959 2885880793096 3607350991370 4122686847280 5050291387918 5771761586192 7214701982740 8245373694560 10100582775836 11543523172384 12625728469795 14429403965480 20201165551672 25251456939590 28858807930960 40402331103344 50502913879180 57717615861920 80804662206688 101005827758360 202011655516720 404023311033440