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44134241120 = 255794098537
BaseRepresentation
bin101001000110100110…
…110001001101100000
311012220210100202010222
4221012212301031200
51210341331203440
632135221542212
73121454600624
oct510646611540
9135823322128
1044134241120
11177986a0642
128678574968
134214745c98
1421c96a7184
1512349272b5
hexa469b1360

44134241120 has 96 divisors (see below), whose sum is σ = 105857539200. Its totient is φ = 17385578496.

The previous prime is 44134241119. The next prime is 44134241147. The reversal of 44134241120 is 2114243144.

It is a self number, because there is not a number n which added to its sum of digits gives 44134241120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5165492 + ... + 5174028.

It is an arithmetic number, because the mean of its divisors is an integer number (1102682700).

Almost surely, 244134241120 is an apocalyptic number.

44134241120 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 44134241120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52928769600).

44134241120 is an abundant number, since it is smaller than the sum of its proper divisors (61723298080).

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

44134241120 is a wasteful number, since it uses less digits than its factorization.

44134241120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9040 (or 9032 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 44134241120 its reverse (2114243144), we get a palindrome (46248484264).

The spelling of 44134241120 in words is "forty-four billion, one hundred thirty-four million, two hundred forty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 79 80 158 160 316 395 409 632 790 818 1264 1580 1636 2045 2528 3160 3272 4090 6320 6544 8180 8537 12640 13088 16360 17074 32311 32720 34148 42685 64622 65440 68296 85370 129244 136592 161555 170740 258488 273184 323110 341480 516976 646220 674423 682960 1033952 1292440 1348846 1365920 2584880 2697692 3372115 3491633 5169760 5395384 6744230 6983266 10790768 13488460 13966532 17458165 21581536 26976920 27933064 34916330 53953840 55866128 69832660 107907680 111732256 139665320 275839007 279330640 551678014 558661280 1103356028 1379195035 2206712056 2758390070 4413424112 5516780140 8826848224 11033560280 22067120560 44134241120