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243253351454040 = 233251090361974113
BaseRepresentation
bin110111010011110011010101…
…100110101001010101011000
31011220021210102022021201002200
4313103303111212221111120
5223340430330433012130
62221205014050130200
7102144321546432264
oct6723632546512530
91156253368251080
10243253351454040
1170565192326374
1223348167280960
13a5969008a1905
14440d74c9790a4
151d1c8a0682760
hexdd3cd59a9558

243253351454040 has 96 divisors (see below), whose sum is σ = 790645914695520. Its totient is φ = 64861609826304.

The previous prime is 243253351453991. The next prime is 243253351454041. The reversal of 243253351454040 is 40454153352342.

243253351454040 is a `hidden beast` number, since 2 + 4 + 3 + 2 + 53 + 3 + 5 + 14 + 540 + 40 = 666.

It is a super-4 number, since 4×2432533514540404 (a number of 59 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243253351454041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27061977 + ... + 34912136.

It is an arithmetic number, because the mean of its divisors is an integer number (8235894944745).

Almost surely, 2243253351454040 is an apocalyptic number.

243253351454040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

243253351454040 is an abundant number, since it is smaller than the sum of its proper divisors (547392563241480).

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

243253351454040 is a wasteful number, since it uses less digits than its factorization.

243253351454040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61985033 (or 61985026 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 45.

The spelling of 243253351454040 in words is "two hundred forty-three trillion, two hundred fifty-three billion, three hundred fifty-one million, four hundred fifty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 10903 21806 32709 43612 54515 65418 87224 98127 109030 130836 163545 196254 218060 261672 327090 392508 436120 490635 654180 785016 981270 1308360 1962540 3925080 61974113 123948226 185922339 247896452 309870565 371844678 495792904 557767017 619741130 743689356 929611695 1115534034 1239482260 1487378712 1859223390 2231068068 2478964520 2788835085 3718446780 4462136136 5577670170 7436893560 11155340340 22310680680 675703754039 1351407508078 2027111262117 2702815016156 3378518770195 4054222524234 5405630032312 6081333786351 6757037540390 8108445048468 10135556310585 12162667572702 13514075080780 16216890096936 20271112621170 24325335145404 27028150161560 30406668931755 40542225242340 48650670290808 60813337863510 81084450484680 121626675727020 243253351454040