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140580632064 = 2934116713367
BaseRepresentation
bin1000001011101101000…
…0100011011000000000
3111102212022021001012110
42002323100203120000
54300402120211224
6144325402455320
713104501441105
oct2027320433000
9442768231173
10140580632064
1154690113654
12232b4204540
1310344c69072
146b387b2aac
1539cbbb5929
hex20bb423600

140580632064 has 160 divisors (see below), whose sum is σ = 385976295936. Its totient is φ = 45440122880.

The previous prime is 140580632057. The next prime is 140580632083. The reversal of 140580632064 is 460236085041.

It is a super-2 number, since 2×1405806320642 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10510309 + ... + 10523675.

Almost surely, 2140580632064 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 140580632064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192988147968).

140580632064 is an abundant number, since it is smaller than the sum of its proper divisors (245395663872).

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

140580632064 is a wasteful number, since it uses less digits than its factorization.

140580632064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13596 (or 13580 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The spelling of 140580632064 in words is "one hundred forty billion, five hundred eighty million, six hundred thirty-two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 128 164 167 192 246 256 328 334 384 492 501 512 656 668 768 984 1002 1312 1336 1536 1968 2004 2624 2672 3936 4008 5248 5344 6847 7872 8016 10496 10688 13367 13694 15744 16032 20541 20992 21376 26734 27388 31488 32064 40101 41082 42752 53468 54776 62976 64128 80202 82164 85504 106936 109552 128256 160404 164328 213872 219104 256512 320808 328656 427744 438208 548047 641616 657312 855488 876416 1096094 1283232 1314624 1644141 1710976 1752832 2192188 2232289 2566464 2629248 3288282 3421952 3505664 4384376 4464578 5132928 5258496 6576564 6696867 6843904 8768752 8929156 10265856 10516992 13153128 13393734 17537504 17858312 20531712 26306256 26787468 35075008 35716624 52612512 53574936 70150016 71433248 91523849 105225024 107149872 140300032 142866496 183047698 210450048 214299744 274571547 280600064 285732992 366095396 420900096 428599488 549143094 571465984 732190792 841800192 857198976 1098286188 1142931968 1464381584 1714397952 2196572376 2928763168 3428795904 4393144752 5857526336 8786289504 11715052672 17572579008 23430105344 35145158016 46860210688 70290316032 140580632064