Search a number
-
+
5344441020 = 2233541241393
BaseRepresentation
bin1001111101000110…
…11011001010111100
3111210110111201211000
410332203123022330
541421134103040
62242153530300
7246303666462
oct47643331274
914713451730
105344441020
1122a2885706
121051a13990
13672319749
14389b22832
152142e3130
hex13e8db2bc

5344441020 has 96 divisors (see below), whose sum is σ = 17032760640. Its totient is φ = 1390417920.

The previous prime is 5344440967. The next prime is 5344441057. The reversal of 5344441020 is 201444435.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98557 + ... + 142836.

It is an arithmetic number, because the mean of its divisors is an integer number (177424590).

Almost surely, 25344441020 is an apocalyptic number.

It is an amenable number.

5344441020 is an abundant number, since it is smaller than the sum of its proper divisors (11688319620).

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

5344441020 is a wasteful number, since it uses less digits than its factorization.

5344441020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241452 (or 241444 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 5344441020 is about 73105.6839103500. The cubic root of 5344441020 is about 1748.3730206511.

Adding to 5344441020 its reverse (201444435), we get a palindrome (5545885455).

The spelling of 5344441020 in words is "five billion, three hundred forty-four million, four hundred forty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 41 45 54 60 82 90 108 123 135 164 180 205 246 270 369 410 492 540 615 738 820 1107 1230 1476 1845 2214 2460 3690 4428 5535 7380 11070 22140 241393 482786 724179 965572 1206965 1448358 2172537 2413930 2896716 3620895 4345074 4827860 6517611 7241790 8690148 9897113 10862685 13035222 14483580 19794226 21725370 26070444 29691339 32588055 39588452 43450740 49485565 59382678 65176110 89074017 98971130 118765356 130352220 148456695 178148034 197942260 267222051 296913390 356296068 445370085 534444102 593826780 890740170 1068888204 1336110255 1781480340 2672220510 5344441020