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44145242130 = 235111391735563
BaseRepresentation
bin101001000111010000…
…101111000000010010
311012221120001122200210
4221013100233000102
51210402140222010
632140253424550
73121650236553
oct510720570022
9135846048623
1044145242130
11177a3924890
12868019b156
134216ac8362
1421cad2c32a
15123589bb20
hexa4742f012

44145242130 has 128 divisors (see below), whose sum is σ = 117105730560. Its totient is φ = 10561570560.

The previous prime is 44145242129. The next prime is 44145242131. The reversal of 44145242130 is 3124254144.

It is an interprime number because it is at equal distance from previous prime (44145242129) and next prime (44145242131).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (44145242131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7932729 + ... + 7938291.

It is an arithmetic number, because the mean of its divisors is an integer number (914888520).

Almost surely, 244145242130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44145242130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58552865280).

44145242130 is an abundant number, since it is smaller than the sum of its proper divisors (72960488430).

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

44145242130 is a wasteful number, since it uses less digits than its factorization.

44145242130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5896.

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 44145242130 its reverse (3124254144), we get a palindrome (47269496274).

The spelling of 44145242130 in words is "forty-four billion, one hundred forty-five million, two hundred forty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 139 165 173 278 330 346 417 519 695 834 865 1038 1390 1529 1730 1903 2085 2595 3058 3806 4170 4587 5190 5563 5709 7645 9174 9515 11126 11418 15290 16689 19030 22935 24047 27815 28545 33378 45870 48094 55630 57090 61193 72141 83445 120235 122386 144282 166890 183579 240470 264517 305965 360705 367158 529034 611930 721410 773257 793551 917895 962399 1322585 1546514 1587102 1835790 1924798 2319771 2645170 2887197 3866285 3967755 4639542 4811995 5774394 7732570 7935510 8505827 9623990 10586389 11598855 14435985 17011654 21172778 23197710 25517481 28871970 31759167 42529135 51034962 52931945 63518334 85058270 105863890 127587405 133773461 158795835 255174810 267546922 317591670 401320383 668867305 802640766 1337734610 1471508071 2006601915 2943016142 4013203830 4414524213 7357540355 8829048426 14715080710 22072621065 44145242130