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145212058488 = 23374321195267
BaseRepresentation
bin1000011100111101010…
…0000010101101111000
3111212211002002212212110
42013033110002231320
54334343241332423
6150413130212320
713330330063050
oct2071724025570
9455732085773
10145212058488
115664746a8a2
12241872840a0
131090263a683
147057930560
153b9d5b5193
hex21cf502b78

145212058488 has 128 divisors (see below), whose sum is σ = 426556753920. Its totient is φ = 40331813760.

The previous prime is 145212058487. The next prime is 145212058501. The reversal of 145212058488 is 884850212541.

It is a Cunningham number, because it is equal to 3810672-1.

It is a super-2 number, since 2×1452120584882 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145212058487) 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, 1476631 + ... + 1571897.

It is an arithmetic number, because the mean of its divisors is an integer number (3332474640).

Almost surely, 2145212058488 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 145212058488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213278376960).

145212058488 is an abundant number, since it is smaller than the sum of its proper divisors (281344695432).

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

145212058488 is a wasteful number, since it uses less digits than its factorization.

145212058488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95537 (or 95533 counting only the distinct ones).

The product of its (nonzero) digits is 819200, while the sum is 48.

The spelling of 145212058488 in words is "one hundred forty-five billion, two hundred twelve million, fifty-eight thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 43 56 84 86 129 168 172 211 258 301 344 422 516 602 633 844 903 1032 1204 1266 1477 1688 1806 2408 2532 2954 3612 4431 5064 5908 7224 8862 9073 11816 17724 18146 27219 35448 36292 54438 63511 72584 95267 108876 127022 190533 190534 217752 254044 285801 381066 381068 508088 571602 666869 762132 762136 1143204 1333738 1524264 2000607 2286408 2667476 4001214 4096481 5334952 8002428 8192962 12289443 16004856 16385924 20101337 24578886 28675367 32771848 40202674 49157772 57350734 60304011 80405348 86026101 98315544 114701468 120608022 140709359 160810696 172052202 229402936 241216044 281418718 344104404 422128077 482432088 562837436 688208808 844256154 864357491 1125674872 1688512308 1728714982 2593072473 3377024616 3457429964 5186144946 6050502437 6914859928 10372289892 12101004874 18151507311 20744579784 24202009748 36303014622 48404019496 72606029244 145212058488