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144551025353430 = 23254193833227933
BaseRepresentation
bin100000110111011111101000…
…100001001010001011010110
3200221210221110111100110212200
4200313133220201022023112
5122421310444442302210
61231233454014425330
742306316106362113
oct4067375041121326
9627727414313780
10144551025353430
1142070822413593
1214266b59b02246
13628714596cb07
14279a44240b90a
1511aa1859ad0c0
hex8377e884a2d6

144551025353430 has 48 divisors (see below), whose sum is σ = 376729641353520. Its totient is φ = 38454942613824.

The previous prime is 144551025353419. The next prime is 144551025353431. The reversal of 144551025353430 is 34353520155441.

144551025353430 is a `hidden beast` number, since 1 + 4 + 4 + 5 + 5 + 102 + 5 + 3 + 534 + 3 + 0 = 666.

It is a super-5 number, since 5×1445510253534305 (a number of 72 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144551025353431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1916576257 + ... + 1916651676.

It is an arithmetic number, because the mean of its divisors is an integer number (7848534194865).

Almost surely, 2144551025353430 is an apocalyptic number.

144551025353430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

144551025353430 is an abundant number, since it is smaller than the sum of its proper divisors (232178616000090).

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

144551025353430 is a wasteful number, since it uses less digits than its factorization.

144551025353430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3833228365 (or 3833228362 counting only the distinct ones).

The product of its (nonzero) digits is 2160000, while the sum is 45.

The spelling of 144551025353430 in words is "one hundred forty-four trillion, five hundred fifty-one billion, twenty-five million, three hundred fifty-three thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 419 838 1257 2095 2514 3771 4190 6285 7542 12570 18855 37710 3833227933 7666455866 11499683799 19166139665 22999367598 34499051397 38332279330 57498418995 68998102794 114996837990 172495256985 344990513970 1606122503927 3212245007854 4818367511781 8030612519635 9636735023562 14455102535343 16061225039270 24091837558905 28910205070686 48183675117810 72275512676715 144551025353430