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145551636024 = 233431973791889
BaseRepresentation
bin1000011110001110001…
…1011011011000111000
3111220200202002012200020
42013203203123120320
54341042204323044
6150510540410440
713341622331034
oct2074343333070
9456622065606
10145551636024
1156801116493
1224260b46a20
1310957ab4922
14708aa871c4
153bbd2e0a19
hex21e38db638

145551636024 has 128 divisors (see below), whose sum is σ = 375417504000. Its totient is φ = 46999056384.

The previous prime is 145551636019. The next prime is 145551636047. The reversal of 145551636024 is 420636155541.

145551636024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77051272 + ... + 77053160.

It is an arithmetic number, because the mean of its divisors is an integer number (2932949250).

Almost surely, 2145551636024 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 145551636024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187708752000).

145551636024 is an abundant number, since it is smaller than the sum of its proper divisors (229865867976).

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

145551636024 is a wasteful number, since it uses less digits than its factorization.

145551636024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2517 (or 2513 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 42.

The spelling of 145551636024 in words is "one hundred forty-five billion, five hundred fifty-one million, six hundred thirty-six thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 24 43 86 129 172 197 258 344 379 394 516 591 758 788 1032 1137 1182 1516 1576 1889 2274 2364 3032 3778 4548 4728 5667 7556 8471 9096 11334 15112 16297 16942 22668 25413 32594 33884 45336 48891 50826 65188 67768 74663 81227 97782 101652 130376 149326 162454 195564 203304 223989 243681 298652 324908 372133 391128 447978 487362 597304 649816 715931 744266 895956 974724 1116399 1431862 1488532 1791912 1949448 2147793 2232798 2863724 2977064 3210509 4295586 4465596 5727448 6421018 8591172 8931192 9631527 12842036 16001719 17182344 19263054 25684072 30785033 32003438 38526108 48005157 61570066 64006876 77052216 92355099 96010314 123140132 128013752 141038407 184710198 192020628 246280264 282076814 369420396 384041256 423115221 564153628 738840792 846230442 1128307256 1692460884 3384921768 6064651501 12129303002 18193954503 24258606004 36387909006 48517212008 72775818012 145551636024