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144110113032340 = 225713149531418663
BaseRepresentation
bin100000110001000101000000…
…000110001000100010010100
3200220020210101120000212010101
4200301011000012020202110
5122342100002414013330
61230255134425303444
742232416641444050
oct4061050006104224
9626223346025111
10144110113032340
1141a10834955884
12141b5609334b84
1362546aa260670
142782d76834c60
15119d97c46a4ca
hex831140188894

144110113032340 has 96 divisors (see below), whose sum is σ = 374969009318400. Its totient is φ = 45302378098176.

The previous prime is 144110113032331. The next prime is 144110113032343. The reversal of 144110113032340 is 43230311011441.

It is a super-2 number, since 2×1441101130323402 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 144110113032299 and 144110113032308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144110113032343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 265438152 + ... + 265980511.

It is an arithmetic number, because the mean of its divisors is an integer number (3905927180400).

Almost surely, 2144110113032340 is an apocalyptic number.

144110113032340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144110113032340 is an abundant number, since it is smaller than the sum of its proper divisors (230858896286060).

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

144110113032340 is a wasteful number, since it uses less digits than its factorization.

144110113032340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531418841 (or 531418839 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 144110113032340 its reverse (43230311011441), we get a palindrome (187340424043781).

The spelling of 144110113032340 in words is "one hundred forty-four trillion, one hundred ten billion, one hundred thirteen million, thirty-two thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 149 182 260 298 364 455 596 745 910 1043 1490 1820 1937 2086 2980 3874 4172 5215 7748 9685 10430 13559 19370 20860 27118 38740 54236 67795 135590 271180 531418663 1062837326 2125674652 2657093315 3719930641 5314186630 6908442619 7439861282 10628373260 13816885238 14879722564 18599653205 27633770476 34542213095 37199306410 48359098333 69084426190 74398612820 79181380787 96718196666 138168852380 158362761574 193436393332 241795491665 316725523148 395906903935 483590983330 554269665509 791813807870 967181966660 1029357950231 1108539331018 1583627615740 2058715900462 2217078662036 2771348327545 4117431800924 5146789751155 5542696655090 7205505651617 10293579502310 11085393310180 14411011303234 20587159004620 28822022606468 36027528258085 72055056516170 144110113032340