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141431511244352 = 2672513533935591
BaseRepresentation
bin100000001010000110010110…
…111111001101111001000000
3200112202201110012012101222012
4200022012112333031321000
5122014203213334304402
61220444423405032052
741535042460064150
oct4012062677157100
9615681405171865
10141431511244352
1141078848a9283a
1213a4245ab55628
1360bbc1b80a994
1426cd470930760
151153e58c91452
hex80a196fcde40

141431511244352 has 112 divisors (see below), whose sum is σ = 322042497960960. Its totient is φ = 60368612160000.

The previous prime is 141431511244253. The next prime is 141431511244367. The reversal of 141431511244352 is 253442115134141.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×1414315112443522 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3973782077 + ... + 3973817667.

It is an arithmetic number, because the mean of its divisors is an integer number (2875379446080).

Almost surely, 2141431511244352 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 141431511244352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161021248980480).

141431511244352 is an abundant number, since it is smaller than the sum of its proper divisors (180610986716608).

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

141431511244352 is a wasteful number, since it uses less digits than its factorization.

141431511244352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71200 (or 71190 counting only the distinct ones).

The product of its digits is 230400, while the sum is 41.

Adding to 141431511244352 its reverse (253442115134141), we get a palindrome (394873626378493).

The spelling of 141431511244352 in words is "one hundred forty-one trillion, four hundred thirty-one billion, five hundred eleven million, two hundred forty-four thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 251 448 502 1004 1757 2008 3514 4016 7028 8032 14056 16064 28112 35339 35591 56224 70678 71182 112448 141356 142364 247373 249137 282712 284728 494746 498274 565424 569456 989492 996548 1130848 1138912 1978984 1993096 2261696 2277824 3957968 3986192 7915936 7972384 8870089 8933341 15831872 15944768 17740178 17866682 35480356 35733364 62090623 62533387 70960712 71466728 124181246 125066774 141921424 142933456 248362492 250133548 283842848 285866912 496724984 500267096 567685696 571733824 993449968 1000534192 1257750349 1986899936 2001068384 2515500698 3973799872 4002136768 5031001396 8804252443 10062002792 17608504886 20124005584 35217009772 40248011168 70434019544 80496022336 140868039088 281736078176 315695337599 563472156352 631390675198 1262781350396 2209867363193 2525562700792 4419734726386 5051125401584 8839469452772 10102250803168 17678938905544 20204501606336 35357877811088 70715755622176 141431511244352