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101144444240 = 2457180615079
BaseRepresentation
bin101111000110010101…
…1011011110101010000
3100200001221010010121102
41132030223123311100
53124120434203430
6114244244243532
710210311406430
oct1361453336520
9320057103542
10101144444240
1139993446a94
12177290a05a8
1396cb951a98
144c7704c2c0
15296e94e345
hex178cadbd50

101144444240 has 40 divisors (see below), whose sum is σ = 268755239040. Its totient is φ = 34678094976.

The previous prime is 101144444239. The next prime is 101144444249. The reversal of 101144444240 is 42444441101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101144444249) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 90306980 + ... + 90308099.

It is an arithmetic number, because the mean of its divisors is an integer number (6718880976).

Almost surely, 2101144444240 is an apocalyptic number.

101144444240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101144444240 is an abundant number, since it is smaller than the sum of its proper divisors (167610794800).

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

101144444240 is a wasteful number, since it uses less digits than its factorization.

101144444240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180615099 (or 180615093 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 29.

Adding to 101144444240 its reverse (42444441101), we get a palindrome (143588885341).

The spelling of 101144444240 in words is "one hundred one billion, one hundred forty-four million, four hundred forty-four thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 180615079 361230158 722460316 903075395 1264305553 1444920632 1806150790 2528611106 2889841264 3612301580 5057222212 6321527765 7224603160 10114444424 12643055530 14449206320 20228888848 25286111060 50572222120 101144444240