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244120421034 = 2327107153111827
BaseRepresentation
bin1110001101011010110…
…1100000001010101010
3212100010011122022001100
43203112231200022222
512444424311433114
6304051455502230
723431350225060
oct3432655401252
9770104568040
10244120421034
1194592682586
123b38b527976
131a035c36899
14bb5b9cc030
15653ba6b909
hex38d6b602aa

244120421034 has 96 divisors (see below), whose sum is σ = 610588233216. Its totient is φ = 69045864480.

The previous prime is 244120421033. The next prime is 244120421059. The reversal of 244120421034 is 430124021442.

244120421034 is a `hidden beast` number, since 2 + 4 + 412 + 0 + 4 + 210 + 34 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 244120420989 and 244120421007.

It is not an unprimeable number, because it can be changed into a prime (244120421033) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20635029 + ... + 20646855.

It is an arithmetic number, because the mean of its divisors is an integer number (6360294096).

Almost surely, 2244120421034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 244120421034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305294116608).

244120421034 is an abundant number, since it is smaller than the sum of its proper divisors (366467812182).

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

244120421034 is a wasteful number, since it uses less digits than its factorization.

244120421034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13480 (or 13477 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 244120421034 its reverse (430124021442), we get a palindrome (674244442476).

The spelling of 244120421034 in words is "two hundred forty-four billion, one hundred twenty million, four hundred twenty-one thousand, thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 107 126 214 321 642 749 963 1498 1531 1926 2247 3062 4494 4593 6741 9186 10717 11827 13482 13779 21434 23654 27558 32151 35481 64302 70962 82789 96453 106443 163817 165578 192906 212886 248367 327634 491451 496734 745101 982902 1146719 1265489 1474353 1490202 2293438 2530978 2948706 3440157 3796467 6880314 7592934 8858423 10320471 11389401 17716846 18107137 20640942 22778802 26575269 36214274 53150538 54321411 79725807 108642822 126749959 159451614 162964233 253499918 325928466 380249877 760499754 1140749631 1937463659 2281499262 3874927318 5812390977 11624781954 13562245613 17437172931 27124491226 34874345862 40686736839 81373473678 122060210517 244120421034