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230001541131544 = 23713547992958171
BaseRepresentation
bin110100010010111101101000…
…001010000010110100011000
31010011100221011212020102002121
4310102331220022002310120
5220121321124012202134
62133101125504311024
766306030413301640
oct6422755012026430
91104327155212077
10230001541131544
1167316118928336
1221967a0a912474
139b4508aa91c90
1440b21c393d520
151b8cd042d9ab4
hexd12f68282d18

230001541131544 has 128 divisors (see below), whose sum is σ = 531805817894400. Its totient is φ = 90812569236480.

The previous prime is 230001541131457. The next prime is 230001541131631. The reversal of 230001541131544 is 445131145100032.

It is an interprime number because it is at equal distance from previous prime (230001541131457) and next prime (230001541131631).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3953857579 + ... + 3953915749.

It is an arithmetic number, because the mean of its divisors is an integer number (4154732952300).

Almost surely, 2230001541131544 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 230001541131544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265902908947200).

230001541131544 is an abundant number, since it is smaller than the sum of its proper divisors (301804276762856).

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

230001541131544 is a wasteful number, since it uses less digits than its factorization.

230001541131544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68673 (or 68669 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 34.

Adding to 230001541131544 its reverse (445131145100032), we get a palindrome (675132686231576).

The spelling of 230001541131544 in words is "two hundred thirty trillion, one billion, five hundred forty-one million, one hundred thirty-one thousand, five hundred forty-four".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 364 547 728 1094 2188 3829 4376 7111 7658 9929 14222 15316 19858 28444 30632 39716 49777 56888 58171 69503 79432 99554 116342 129077 139006 199108 232684 258154 278012 398216 407197 465368 516308 556024 756223 814394 903539 1032616 1512446 1628788 1807078 3024892 3257576 3614156 5293561 5431163 6049784 7228312 10587122 10862326 21174244 21724652 31819537 38018141 42348488 43449304 63639074 70605119 76036282 127278148 141210238 152072564 222736759 254556296 282420476 304145128 413653981 445473518 494235833 564840952 577579859 827307962 890947036 988471666 1155159718 1654615924 1781894072 1976943332 2310319436 2895577867 3309231848 3953886664 4043059013 4620638872 5791155734 7508538167 8086118026 11582311468 15017076334 16172236052 23164622936 30034152668 32344472104 52559767169 60068305336 105119534338 210239068676 315936182873 420478137352 631872365746 1263744731492 2211553280111 2527489462984 4107170377349 4423106560222 8214340754698 8846213120444 16428681509396 17692426240888 28750192641443 32857363018792 57500385282886 115000770565772 230001541131544