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144242102532444 = 223717367275231269
BaseRepresentation
bin100000110010111111111011…
…010010000111100101011100
3200220201102002010120011211020
4200302333323102013211130
5122401230311222014234
61230435523534324140
742245101523622210
oct4062777322074534
9626642063504736
10144242102532444
1141a6180654a874
1214217104359650
136263c83374297
1427894d8224940
1511a2104cba549
hex832ffb48795c

144242102532444 has 96 divisors (see below), whose sum is σ = 408381552875520. Its totient is φ = 38682103329792.

The previous prime is 144242102532413. The next prime is 144242102532457. The reversal of 144242102532444 is 444235201242441.

It is a super-2 number, since 2×1442421025324442 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 144242102532396 and 144242102532405.

It is a congruent number.

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, 137091559 + ... + 138139710.

It is an arithmetic number, because the mean of its divisors is an integer number (4253974509120).

Almost surely, 2144242102532444 is an apocalyptic number.

144242102532444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

144242102532444 is an abundant number, since it is smaller than the sum of its proper divisors (264139450343076).

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

144242102532444 is a wasteful number, since it uses less digits than its factorization.

144242102532444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275231667 (or 275231665 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 42.

Adding to 144242102532444 its reverse (444235201242441), we get a palindrome (588477303774885).

The spelling of 144242102532444 in words is "one hundred forty-four trillion, two hundred forty-two billion, one hundred two million, five hundred thirty-two thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 204 238 357 367 476 714 734 1101 1428 1468 2202 2569 4404 5138 6239 7707 10276 12478 15414 18717 24956 30828 37434 43673 74868 87346 131019 174692 262038 524076 275231269 550462538 825693807 1100925076 1651387614 1926618883 3302775228 3853237766 4678931573 5779856649 7706475532 9357863146 11559713298 14036794719 18715726292 23119426596 28073589438 32752521011 56147178876 65505042022 98257563033 101009875723 131010084044 196515126066 202019751446 303029627169 393030252132 404039502892 606059254338 707069130061 1212118508676 1414138260122 1717167887291 2121207390183 2828276520244 3434335774582 4242414780366 5151503661873 6868671549164 8484829560732 10303007323746 12020175211037 20606014647492 24040350422074 36060525633111 48080700844148 72121051266222 144242102532444