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274665520140 = 2235112038920411
BaseRepresentation
bin1111111111001101010…
…1110011110000001100
3222020221220122002211020
43333303111303300030
514000003333121030
6330102443154140
725562316254124
oct3776325636014
9866856562736
10274665520140
11a6537586640
1245294b15950
131cb9321451b
14d4185abc84
15722846b510
hex3ff3573c0c

274665520140 has 96 divisors (see below), whose sum is σ = 839060570880. Its totient is φ = 66579052800.

The previous prime is 274665520121. The next prime is 274665520147. The reversal of 274665520140 is 41025566472.

It is a super-2 number, since 2×2746655201402 (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 274665520092 and 274665520101.

It is not an unprimeable number, because it can be changed into a prime (274665520147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13446535 + ... + 13466945.

It is an arithmetic number, because the mean of its divisors is an integer number (8740214280).

Almost surely, 2274665520140 is an apocalyptic number.

274665520140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

274665520140 is an abundant number, since it is smaller than the sum of its proper divisors (564395050740).

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

274665520140 is a wasteful number, since it uses less digits than its factorization.

274665520140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40823 (or 40821 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 42.

The spelling of 274665520140 in words is "two hundred seventy-four billion, six hundred sixty-five million, five hundred twenty thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 20389 20411 40778 40822 61167 61233 81556 81644 101945 102055 122334 122466 203890 204110 224279 224521 244668 244932 305835 306165 407780 408220 448558 449042 611670 612330 672837 673563 897116 898084 1121395 1122605 1223340 1224660 1345674 1347126 2242790 2245210 2691348 2694252 3364185 3367815 4485580 4490420 6728370 6735630 13456740 13471260 416159879 832319758 1248479637 1664639516 2080799395 2496959274 4161598790 4577758669 4993918548 6242398185 8323197580 9155517338 12484796370 13733276007 18311034676 22888793345 24969592740 27466552014 45777586690 54933104028 68666380035 91555173380 137332760070 274665520140