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215025141540 = 223511389837521
BaseRepresentation
bin1100100001000001111…
…1110100011100100100
3202120000110201221220010
43020100133310130210
512010332414012130
6242440423010220
721351344355246
oct3102037643444
9676013657803
10215025141540
11832120a5450
123580b599970
131737a12b981
14a59b7ac096
1558d75a30b0
hex32107f4724

215025141540 has 96 divisors (see below), whose sum is σ = 658493297280. Its totient is φ = 51993241600.

The previous prime is 215025141533. The next prime is 215025141571. The reversal of 215025141540 is 45141520512.

It is a super-3 number, since 3×2150251415403 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 215025141498 and 215025141507.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 162021 + ... + 675500.

It is an arithmetic number, because the mean of its divisors is an integer number (6859305180).

Almost surely, 2215025141540 is an apocalyptic number.

215025141540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

215025141540 is an abundant number, since it is smaller than the sum of its proper divisors (443468155740).

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

215025141540 is a wasteful number, since it uses less digits than its factorization.

215025141540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 837933 (or 837931 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 30.

The spelling of 215025141540 in words is "two hundred fifteen billion, twenty-five million, one hundred forty-one thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 389 660 778 1167 1556 1945 2334 3890 4279 4668 5835 7780 8558 11670 12837 17116 21395 23340 25674 42790 51348 64185 85580 128370 256740 837521 1675042 2512563 3350084 4187605 5025126 8375210 9212731 10050252 12562815 16750420 18425462 25125630 27638193 36850924 46063655 50251260 55276386 92127310 110552772 138190965 184254620 276381930 325795669 552763860 651591338 977387007 1303182676 1628978345 1954774014 3257956690 3583752359 3909548028 4886935035 6515913380 7167504718 9773870070 10751257077 14335009436 17918761795 19547740140 21502514154 35837523590 43005028308 53756285385 71675047180 107512570770 215025141540