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5003144440 = 2357373311459
BaseRepresentation
bin1001010100011010…
…11110110011111000
3110220200022001220221
410222031132303320
540221301110230
62144242425424
7234661011640
oct45215366370
913820261827
105003144440
112138165518
12b77662274
136196bcbc8
1435667d520
151e437827a
hex12a35ecf8

5003144440 has 128 divisors (see below), whose sum is σ = 13261939200. Its totient is φ = 1662819840.

The previous prime is 5003144423. The next prime is 5003144441. The reversal of 5003144440 is 444413005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5003144441) 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, 3428431 + ... + 3429889.

It is an arithmetic number, because the mean of its divisors is an integer number (103608900).

Almost surely, 25003144440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5003144440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6630969600).

5003144440 is an abundant number, since it is smaller than the sum of its proper divisors (8258794760).

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

5003144440 is a wasteful number, since it uses less digits than its factorization.

5003144440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1845 (or 1841 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 5003144440 is about 70732.9091724637. The cubic root of 5003144440 is about 1710.3343326767.

Adding to 5003144440 its reverse (444413005), we get a palindrome (5447557445).

The spelling of 5003144440 in words is "five billion, three million, one hundred forty-four thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 37 40 56 70 74 140 148 185 259 280 296 331 370 518 662 740 1036 1295 1324 1459 1480 1655 2072 2317 2590 2648 2918 3310 4634 5180 5836 6620 7295 9268 10213 10360 11585 11672 12247 13240 14590 18536 20426 23170 24494 29180 40852 46340 48988 51065 53983 58360 61235 81704 85729 92680 97976 102130 107966 122470 171458 204260 215932 244940 269915 342916 377881 408520 428645 431864 482929 489880 539830 685832 755762 857290 965858 1079660 1511524 1714580 1889405 1931716 2159320 2414645 3023048 3380503 3429160 3778810 3863432 4829290 6761006 7557620 9658580 13522012 15115240 16902515 17868373 19317160 27044024 33805030 35736746 67610060 71473492 89341865 125078611 135220120 142946984 178683730 250157222 357367460 500314444 625393055 714734920 1000628888 1250786110 2501572220 5003144440