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144342331440 = 24353119400851
BaseRepresentation
bin1000011001101101111…
…0010011000000110000
3111210120110120011122120
42012123132103000300
54331103114101230
6150150541034240
713266636400506
oct2063336230060
9453513504576
10144342331440
115624053500a
1223b83b55980
13107c43b3298
146db4214676
153b4c068310
hex219b793030

144342331440 has 80 divisors (see below), whose sum is σ = 461895484416. Its totient is φ = 37249632000.

The previous prime is 144342331433. The next prime is 144342331453. The reversal of 144342331440 is 44133243441.

It is a tau number, because it is divible by the number of its divisors (80).

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, 9692986 + ... + 9707865.

Almost surely, 2144342331440 is an apocalyptic number.

144342331440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144342331440 is an abundant number, since it is smaller than the sum of its proper divisors (317553152976).

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

144342331440 is a wasteful number, since it uses less digits than its factorization.

144342331440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19400898 (or 19400892 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 144342331440 its reverse (44133243441), we get a palindrome (188475574881).

The spelling of 144342331440 in words is "one hundred forty-four billion, three hundred forty-two million, three hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 155 186 240 248 310 372 465 496 620 744 930 1240 1488 1860 2480 3720 7440 19400851 38801702 58202553 77603404 97004255 116405106 155206808 194008510 232810212 291012765 310413616 388017020 465620424 582025530 601426381 776034040 931240848 1164051060 1202852762 1552068080 1804279143 2328102120 2405705524 3007131905 3608558286 4656204240 4811411048 6014263810 7217116572 9021395715 9622822096 12028527620 14434233144 18042791430 24057055240 28868466288 36085582860 48114110480 72171165720 144342331440