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144311242102320 = 24351984130305773
BaseRepresentation
bin100000110100000000010100…
…010100101001011000110000
3200220222000112120212020110110
4200310000110110221120300
5122403343410434233240
61230531400331301320
742253100052360216
oct4064002424513060
9626860476766413
10144311242102320
1141a89065a86a67
121422859abaa840
13626a65146b087
14278c9b6860cb6
1511a3ceeab8c80
hex834014529630

144311242102320 has 80 divisors (see below), whose sum is σ = 447387412774752. Its totient is φ = 38481057054720.

The previous prime is 144311242102303. The next prime is 144311242102373. The reversal of 144311242102320 is 23201242113441.

It is a happy number.

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

It is a super-2 number, since 2×1443112421023202 (a number of 29 digits) contains 22 as substring.

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

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, 10391047 + ... + 19914726.

Almost surely, 2144311242102320 is an apocalyptic number.

144311242102320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144311242102320 is an abundant number, since it is smaller than the sum of its proper divisors (303076170672432).

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

144311242102320 is a wasteful number, since it uses less digits than its factorization.

144311242102320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30325630 (or 30325624 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 144311242102320 its reverse (23201242113441), we get a palindrome (167512484215761).

The spelling of 144311242102320 in words is "one hundred forty-four trillion, three hundred eleven billion, two hundred forty-two million, one hundred two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 19841 39682 59523 79364 99205 119046 158728 198410 238092 297615 317456 396820 476184 595230 793640 952368 1190460 1587280 2380920 4761840 30305773 60611546 90917319 121223092 151528865 181834638 242446184 303057730 363669276 454586595 484892368 606115460 727338552 909173190 1212230920 1454677104 1818346380 2424461840 3636692760 7273385520 601296842093 1202593684186 1803890526279 2405187368372 3006484210465 3607781052558 4810374736744 6012968420930 7215562105116 9019452631395 9620749473488 12025936841860 14431124210232 18038905262790 24051873683720 28862248420464 36077810525580 48103747367440 72155621051160 144311242102320