Search a number
-
+
44340241300 = 2252374127129
BaseRepresentation
bin101001010010111000…
…100110001110010100
311020110010222122021021
4221102320212032110
51211302100210200
632211501130524
73126535555345
oct512270461624
9136403878237
1044340241300
1117893a01623
128715559a44
134248321394
142208bac0cc
151247a6941a
hexa52e26394

44340241300 has 108 divisors (see below), whose sum is σ = 101302027540. Its totient is φ = 16833484800.

The previous prime is 44340241249. The next prime is 44340241303. The reversal of 44340241300 is 314204344.

It can be written as a sum of positive squares in 18 ways, for example, as 38416784004 + 5923457296 = 196002^2 + 76964^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44340241303) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6216136 + ... + 6223264.

Almost surely, 244340241300 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 44340241300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50651013770).

44340241300 is an abundant number, since it is smaller than the sum of its proper divisors (56961786240).

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

44340241300 is a wasteful number, since it uses less digits than its factorization.

44340241300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7262 (or 7214 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 44340241300 its reverse (314204344), we get a palindrome (44654445644).

The spelling of 44340241300 in words is "forty-four billion, three hundred forty million, two hundred forty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 37 41 50 74 82 100 148 164 185 205 370 410 740 820 925 1025 1517 1681 1850 2050 3034 3362 3700 4100 6068 6724 7129 7585 8405 14258 15170 16810 28516 30340 33620 35645 37925 42025 62197 71290 75850 84050 124394 142580 151700 168100 178225 248788 263773 292289 310985 356450 527546 584578 621970 712900 1055092 1169156 1243940 1318865 1461445 1554925 2637730 2922890 3109850 5275460 5845780 6219700 6594325 7307225 10814693 11983849 13188650 14614450 21629386 23967698 26377300 29228900 43258772 47935396 54073465 59919245 108146930 119838490 216293860 239676980 270367325 299596225 443402413 540734650 599192450 886804826 1081469300 1198384900 1773609652 2217012065 4434024130 8868048260 11085060325 22170120650 44340241300