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450316513140 = 2235131828931567
BaseRepresentation
bin1101000110110001111…
…01001010111101110100
31121001100022222002000120
412203120331022331310
524334222011410030
6542512245411540
744351156130414
oct6433075127564
91531308862016
10450316513140
11163a83a2845a
1273336109bb0
1333606b3b140
1417b1c964644
15baa8e60010
hex68d8f4af74

450316513140 has 96 divisors (see below), whose sum is σ = 1357994749440. Its totient is φ = 110837569536.

The previous prime is 450316513139. The next prime is 450316513187. The reversal of 450316513140 is 41315613054.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14249637 + ... + 14281203.

It is an arithmetic number, because the mean of its divisors is an integer number (14145778640).

Almost surely, 2450316513140 is an apocalyptic number.

It is an amenable number.

450316513140 is an abundant number, since it is smaller than the sum of its proper divisors (907678236300).

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

450316513140 is a wasteful number, since it uses less digits than its factorization.

450316513140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49881 (or 49879 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The spelling of 450316513140 in words is "four hundred fifty billion, three hundred sixteen million, five hundred thirteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 18289 31567 36578 54867 63134 73156 91445 94701 109734 126268 157835 182890 189402 219468 237757 274335 315670 365780 378804 410371 473505 475514 548670 631340 713271 820742 947010 951028 1097340 1188785 1231113 1426542 1641484 1894020 2051855 2377570 2462226 2853084 3566355 4103710 4755140 4924452 6155565 7132710 8207420 12311130 14265420 24622260 577328863 1154657726 1731986589 2309315452 2886644315 3463973178 5773288630 6927946356 7505275219 8659932945 11546577260 15010550438 17319865890 22515825657 30021100876 34639731780 37526376095 45031651314 75052752190 90063302628 112579128285 150105504380 225158256570 450316513140