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145550243151432 = 233271791613352877
BaseRepresentation
bin100001000110000010001110…
…100010100011111001001000
3201002100110121200220220221100
4201012002032202203321020
5123034143344221321212
61233320505243541400
742441441465462630
oct4106021642437110
9632313550826840
10145550243151432
1142416569854549
12143a8741b2a860
13632a437b77822
1427d29529dd6c0
1511c6168715bdc
hex84608e8a3e48

145550243151432 has 96 divisors (see below), whose sum is σ = 453029488142400. Its totient is φ = 41353460917632.

The previous prime is 145550243151413. The next prime is 145550243151433. The reversal of 145550243151432 is 234151342055541.

145550243151432 is a `hidden beast` number, since 1 + 4 + 5 + 5 + 50 + 24 + 31 + 514 + 32 = 666.

It is not an unprimeable number, because it can be changed into a prime (145550243151433) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 806586223 + ... + 806766654.

It is an arithmetic number, because the mean of its divisors is an integer number (4719057168150).

Almost surely, 2145550243151432 is an apocalyptic number.

145550243151432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

145550243151432 is an abundant number, since it is smaller than the sum of its proper divisors (307479244990968).

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

145550243151432 is a wasteful number, since it uses less digits than its factorization.

145550243151432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1613353075 (or 1613353068 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 45.

The spelling of 145550243151432 in words is "one hundred forty-five trillion, five hundred fifty billion, two hundred forty-three million, one hundred fifty-one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 179 252 358 504 537 716 1074 1253 1432 1611 2148 2506 3222 3759 4296 5012 6444 7518 10024 11277 12888 15036 22554 30072 45108 90216 1613352877 3226705754 4840058631 6453411508 9680117262 11293470139 12906823016 14520175893 19360234524 22586940278 29040351786 33880410417 38720469048 45173880556 58080703572 67760820834 90347761112 101641231251 116161407144 135521641668 203282462502 271043283336 288790164983 406564925004 577580329966 813129850008 866370494949 1155160659932 1732740989898 2021531154881 2310321319864 2599111484847 3465481979796 4043062309762 5198222969694 6064593464643 6930963959592 8086124619524 10396445939388 12129186929286 16172249239048 18193780393929 20792891878776 24258373858572 36387560787858 48516747717144 72775121575716 145550243151432