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145518874672444 = 22713977195732147
BaseRepresentation
bin100001000101100101000000…
…110101010011110100111100
3201002020110122120121002022021
4201011211000311103310330
5123033140123404004234
61233254240444325524
742436251241013260
oct4105450065236474
9632213576532267
10145518874672444
11424042320a0a49
12143a26488438a4
1363274a911c360
1427d121892a0a0
1511c542e8c19b4
hex845940d53d3c

145518874672444 has 96 divisors (see below), whose sum is σ = 317096924497920. Its totient is φ = 56895171766272.

The previous prime is 145518874672441. The next prime is 145518874672459. The reversal of 145518874672444 is 444276478815541.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145518874672441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22520379 + ... + 28252525.

It is an arithmetic number, because the mean of its divisors is an integer number (3303092963520).

Almost surely, 2145518874672444 is an apocalyptic number.

145518874672444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145518874672444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158548462248960).

145518874672444 is an abundant number, since it is smaller than the sum of its proper divisors (171578049825476).

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

145518874672444 is a wasteful number, since it uses less digits than its factorization.

145518874672444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5732987 (or 5732985 counting only the distinct ones).

The product of its digits is 963379200, while the sum is 70.

The spelling of 145518874672444 in words is "one hundred forty-five trillion, five hundred eighteen billion, eight hundred seventy-four million, six hundred seventy-two thousand, four hundred forty-four".

Divisors: 1 2 4 7 13 14 26 28 52 91 97 182 194 364 388 679 719 1261 1358 1438 2522 2716 2876 5033 5044 8827 9347 10066 17654 18694 20132 35308 37388 65429 69743 130858 139486 261716 278972 488201 906659 976402 1813318 1952804 3626636 5732147 6346613 11464294 12693226 22928588 25386452 40125029 74517911 80250058 149035822 160500116 298071644 521625377 556018259 1043250754 1112036518 2086501508 2224073036 3892127813 4121413693 7228237367 7784255626 8242827386 14456474734 15568511252 16485654772 28849895851 28912949468 50597661569 53578378009 57699791702 101195323138 107156756018 115399583404 202390646276 214313512036 375048646063 399777128221 750097292126 799554256442 1500194584252 1599108512884 2798439897547 5197102666873 5596879795094 10394205333746 11193759590188 20788410667492 36379718668111 72759437336222 145518874672444