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144601187440 = 24513713193539
BaseRepresentation
bin1000011010101011100…
…1110000010001110000
3111211020111122102022211
42012222321300101300
54332120400444230
6150232345141504
713306231545643
oct2065271602160
9454214572284
10144601187440
1156363667396
122403678a894
1310835c06908
146dda757a5a
153b64b4b42a
hex21aae70470

144601187440 has 40 divisors (see below), whose sum is σ = 338651784720. Its totient is φ = 57418277376.

The previous prime is 144601187411. The next prime is 144601187441. The reversal of 144601187440 is 44781106441.

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

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 144601187393 and 144601187402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144601187441) 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, 6585810 + ... + 6607729.

It is an arithmetic number, because the mean of its divisors is an integer number (8466294618).

Almost surely, 2144601187440 is an apocalyptic number.

144601187440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144601187440 is an abundant number, since it is smaller than the sum of its proper divisors (194050597280).

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

144601187440 is a wasteful number, since it uses less digits than its factorization.

144601187440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13193689 (or 13193683 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 40.

The spelling of 144601187440 in words is "one hundred forty-four billion, six hundred one million, one hundred eighty-seven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 137 274 548 685 1096 1370 2192 2740 5480 10960 13193539 26387078 52774156 65967695 105548312 131935390 211096624 263870780 527741560 1055483120 1807514843 3615029686 7230059372 9037574215 14460118744 18075148430 28920237488 36150296860 72300593720 144601187440