Search a number
-
+
14530152462144 = 2631146431481759
BaseRepresentation
bin1101001101110001000010…
…0100110111011101000000
31220110001212022022110010020
43103130100210313131000
53401030223012242034
650523020534133440
73026524503052014
oct323342044673500
956401768273106
1014530152462144
1146a22262a0190
12176805a7b1280
13815258c185a7
14383398066544
151a2e68c24249
hexd3710937740

14530152462144 has 112 divisors (see below), whose sum is σ = 41948364810240. Its totient is φ = 4402125207040.

The previous prime is 14530152462101. The next prime is 14530152462179. The reversal of 14530152462144 is 44126425103541.

It is a super-2 number, since 2×145301524621442 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14530152462096 and 14530152462105.

It is a congruent number.

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, 9065137 + ... + 10546895.

It is an arithmetic number, because the mean of its divisors is an integer number (374538971520).

Almost surely, 214530152462144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14530152462144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20974182405120).

14530152462144 is an abundant number, since it is smaller than the sum of its proper divisors (27418212348096).

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

14530152462144 is a wasteful number, since it uses less digits than its factorization.

14530152462144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1486428 (or 1486418 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 42.

Adding to 14530152462144 its reverse (44126425103541), we get a palindrome (58656577565685).

The spelling of 14530152462144 in words is "fourteen trillion, five hundred thirty billion, one hundred fifty-two million, four hundred sixty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 2112 4643 9286 13929 18572 27858 37144 51073 55716 74288 102146 111432 148576 153219 204292 222864 297152 306438 408584 445728 612876 817168 891456 1225752 1481759 1634336 2451504 2963518 3268672 4445277 4903008 5927036 8890554 9806016 11854072 16299349 17781108 23708144 32598698 35562216 47416288 48898047 65197396 71124432 94832576 97796094 130394792 142248864 195592188 260789584 284497728 391184376 521579168 782368752 1043158336 1564737504 3129475008 6879807037 13759614074 20639421111 27519228148 41278842222 55038456296 75677877407 82557684444 110076912592 151355754814 165115368888 220153825184 227033632221 302711509628 330230737776 440307650368 454067264442 605423019256 660461475552 908134528884 1210846038512 1320922951104 1816269057768 2421692077024 3632538115536 4843384154048 7265076231072 14530152462144