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144113155410 = 2357412408241
BaseRepresentation
bin1000011000110111010…
…0000011110101010010
3111202222111022211020110
42012031310003311102
54330120431433120
6150112113022150
713261154416020
oct2061564036522
9452874284213
10144113155410
1156133134734
1223b1b254956
1310788a82073
146d919d9710
153b36d992e0
hex218dd03d52

144113155410 has 96 divisors (see below), whose sum is σ = 405158956416. Its totient is φ = 32136652800.

The previous prime is 144113155409. The next prime is 144113155411. The reversal of 144113155410 is 14551311441.

It is an interprime number because it is at equal distance from previous prime (144113155409) and next prime (144113155411).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (144113155411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 148890 + ... + 557130.

It is an arithmetic number, because the mean of its divisors is an integer number (4220405796).

Almost surely, 2144113155410 is an apocalyptic number.

144113155410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 144113155410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202579478208).

144113155410 is an abundant number, since it is smaller than the sum of its proper divisors (261045801006).

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

144113155410 is a wasteful number, since it uses less digits than its factorization.

144113155410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408340 (or 408299 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

Adding to 144113155410 its reverse (14551311441), we get a palindrome (158664466851).

The spelling of 144113155410 in words is "one hundred forty-four billion, one hundred thirteen million, one hundred fifty-five thousand, four hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 41 42 70 82 105 123 205 210 246 287 410 574 615 861 1230 1435 1681 1722 2870 3362 4305 5043 8405 8610 10086 11767 16810 23534 25215 35301 50430 58835 70602 117670 176505 353010 408241 816482 1224723 2041205 2449446 2857687 4082410 5715374 6123615 8573061 12247230 14288435 16737881 17146122 28576870 33475762 42865305 50213643 83689405 85730610 100427286 117165167 167378810 234330334 251068215 351495501 502136430 585825835 686253121 702991002 1171651670 1372506242 1757477505 2058759363 3431265605 3514955010 4117518726 4803771847 6862531210 9607543694 10293796815 14411315541 20587593630 24018859235 28822631082 48037718470 72056577705 144113155410