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243145526240 = 25519365921859
BaseRepresentation
bin1110001001110010011…
…0100100101111100000
3212020121020012111210202
43202130212210233200
512440430223314430
6303411032244332
723365241605151
oct3423446445740
9766536174722
10243145526240
1194132346701
123b158b406a8
1319c0bc79766
14baa8337928
1564d1198d45
hex389c9a4be0

243145526240 has 96 divisors (see below), whose sum is σ = 604857456000. Its totient is φ = 92109961728.

The previous prime is 243145526227. The next prime is 243145526291. The reversal of 243145526240 is 42625541342.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 243145526194 and 243145526203.

It is a congruent number.

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, 11112431 + ... + 11134289.

It is an arithmetic number, because the mean of its divisors is an integer number (6300598500).

Almost surely, 2243145526240 is an apocalyptic number.

243145526240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 243145526240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302428728000).

243145526240 is an abundant number, since it is smaller than the sum of its proper divisors (361711929760).

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

243145526240 is a wasteful number, since it uses less digits than its factorization.

243145526240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25552 (or 25544 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 38.

The spelling of 243145526240 in words is "two hundred forty-three billion, one hundred forty-five million, five hundred twenty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 76 80 95 152 160 190 304 380 608 760 1520 3040 3659 7318 14636 18295 21859 29272 36590 43718 58544 69521 73180 87436 109295 117088 139042 146360 174872 218590 278084 292720 347605 349744 415321 437180 556168 585440 695210 699488 830642 874360 1112336 1390420 1661284 1748720 2076605 2224672 2780840 3322568 3497440 4153210 5561680 6645136 8306420 11123360 13290272 16612840 33225680 66451360 79982081 159964162 319928324 399910405 639856648 799820810 1279713296 1519659539 1599641620 2559426592 3039319078 3199283240 6078638156 6398566480 7598297695 12157276312 12797132960 15196595390 24314552624 30393190780 48629105248 60786381560 121572763120 243145526240