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144240817252 = 22731710360041
BaseRepresentation
bin1000011001010101101…
…1000011010001100100
3111210022101112201100211
42012111123003101210
54330401122123002
6150132513145204
713264264501000
oct2062533032144
9453271481324
10144240817252
11561991a9994
1223b55b5b204
13107a935c50c
146da494b700
153b431b4dd7
hex21956c3464

144240817252 has 96 divisors (see below), whose sum is σ = 314716147200. Its totient is φ = 57615344640.

The previous prime is 144240817243. The next prime is 144240817261. The reversal of 144240817252 is 252718042441.

It is an interprime number because it is at equal distance from previous prime (144240817243) and next prime (144240817261).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2372352 + ... + 2432392.

It is an arithmetic number, because the mean of its divisors is an integer number (3278293200).

Almost surely, 2144240817252 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 144240817252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157358073600).

144240817252 is an abundant number, since it is smaller than the sum of its proper divisors (170475329948).

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

144240817252 is a wasteful number, since it uses less digits than its factorization.

144240817252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60186 (or 60170 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 40.

Adding to 144240817252 its reverse (252718042441), we get a palindrome (396958859693).

The spelling of 144240817252 in words is "one hundred forty-four billion, two hundred forty million, eight hundred seventeen thousand, two hundred fifty-two".

Divisors: 1 2 4 7 14 17 28 34 49 68 98 103 119 196 206 238 343 412 476 686 721 833 1372 1442 1666 1751 2884 3332 3502 5047 5831 7004 10094 11662 12257 20188 23324 24514 35329 49028 60041 70658 85799 120082 141316 171598 240164 343196 420287 600593 840574 1020697 1201186 1681148 2041394 2402372 2942009 4082788 5884018 6184223 7144879 11768036 12368446 14289758 20594063 24736892 28579516 41188126 43289561 50014153 82376252 86579122 100028306 105131791 173158244 200056612 210263582 303026927 350099071 420527164 606053854 700198142 735922537 1212107708 1400396284 1471845074 2121188489 2943690148 4242376978 5151457759 8484753956 10302915518 20605831036 36060204313 72120408626 144240817252