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17404241140 = 225111323932543
BaseRepresentation
bin10000001101010111…
…111010010011110100
31122220221011001111201
4100031113322103310
5241120441204030
611555001142244
71154202415546
oct201527722364
948827131451
1017404241140
117421270a70
12345878a984
13184498b250
14bb1669696
156bce272ca
hex40d5fa4f4

17404241140 has 96 divisors (see below), whose sum is σ = 42973410816. Its totient is φ = 5837245440.

The previous prime is 17404241111. The next prime is 17404241149. The reversal of 17404241140 is 4114240471.

It is a junction number, because it is equal to n+sod(n) for n = 17404241099 and 17404241108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (17404241149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6842709 + ... + 6845251.

It is an arithmetic number, because the mean of its divisors is an integer number (447639696).

Almost surely, 217404241140 is an apocalyptic number.

17404241140 is a gapful number since it is divisible by the number (10) 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 17404241140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21486705408).

17404241140 is an abundant number, since it is smaller than the sum of its proper divisors (25569169676).

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

17404241140 is a wasteful number, since it uses less digits than its factorization.

17404241140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4969 (or 4967 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 28.

The spelling of 17404241140 in words is "seventeen billion, four hundred four million, two hundred forty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 130 143 220 260 286 572 715 1430 2393 2543 2860 4786 5086 9572 10172 11965 12715 23930 25430 26323 27973 31109 33059 47860 50860 52646 55946 62218 66118 105292 111892 124436 131615 132236 139865 155545 165295 263230 279730 311090 330590 342199 363649 526460 559460 622180 661180 684398 727298 1368796 1454596 1710995 1818245 3421990 3636490 6085399 6843980 7272980 12170798 24341596 30426995 60853990 66939389 79110187 121707980 133878778 158220374 267757556 316440748 334696945 395550935 669393890 791101870 870212057 1338787780 1582203740 1740424114 3480848228 4351060285 8702120570 17404241140