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463015460024340 = 223523734596143141
BaseRepresentation
bin110100101000111000011000…
…0000001010011000000010100
32020201101211211111200112000020
41221101300300001103000110
5441142021130231234330
64320430211010545140
7166345522506234336
oct15121606001230024
92221354744615006
10463015460024340
111245928324395a3
1243b1b5b88981b0
1316b4822a871822
14824a0d4209456
15387e164808210
hex1a51c30053014

463015460024340 has 96 divisors (see below), whose sum is σ = 1371342036992256. Its totient is φ = 116484651740160.

The previous prime is 463015460024303. The next prime is 463015460024387. The reversal of 463015460024340 is 43420064510364.

It is a junction number, because it is equal to n+sod(n) for n = 463015460024292 and 463015460024301.

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, 2297970831 + ... + 2298172310.

It is an arithmetic number, because the mean of its divisors is an integer number (14284812885336).

Almost surely, 2463015460024340 is an apocalyptic number.

It is an amenable number.

463015460024340 is an abundant number, since it is smaller than the sum of its proper divisors (908326576967916).

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

463015460024340 is a wasteful number, since it uses less digits than its factorization.

463015460024340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4596143249 (or 4596143247 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 42.

The spelling of 463015460024340 in words is "four hundred sixty-three trillion, fifteen billion, four hundred sixty million, twenty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 73 92 115 138 146 219 230 276 292 345 365 438 460 690 730 876 1095 1380 1460 1679 2190 3358 4380 5037 6716 8395 10074 16790 20148 25185 33580 50370 100740 4596143141 9192286282 13788429423 18384572564 22980715705 27576858846 45961431410 55153717692 68942147115 91922862820 105711292243 137884294230 211422584486 275768588460 317133876729 335518449293 422845168972 528556461215 634267753458 671036898586 1006555347879 1057112922430 1268535506916 1342073797172 1585669383645 1677592246465 2013110695758 2114225844860 3171338767290 3355184492930 4026221391516 5032776739395 6342677534580 6710368985860 7716924333739 10065553478790 15433848667478 20131106957580 23150773001217 30867697334956 38584621668695 46301546002434 77169243337390 92603092004868 115753865006085 154338486674780 231507730012170 463015460024340