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420114720503712 = 253132911607944311
BaseRepresentation
bin101111110000101111001010…
…0101011100011011110100000
32001002111120112012121000220110
41133201132110223203132200
5420031124421422104322
64045302012131411320
7154330200262110213
oct13741362453433640
92032446465530813
10420114720503712
1111195271a3a1083
123b151069a53b40
1315055856cbac40
1475a593799377a
153388234704c0c
hex17e1794ae37a0

420114720503712 has 96 divisors (see below), whose sum is σ = 1228584825982080. Its totient is φ = 124808617221120.

The previous prime is 420114720503707. The next prime is 420114720503791. The reversal of 420114720503712 is 217305027411024.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 5803935964 + ... + 5804008347.

It is an arithmetic number, because the mean of its divisors is an integer number (12797758603980).

Almost surely, 2420114720503712 is an apocalyptic number.

It is an amenable number.

420114720503712 is an abundant number, since it is smaller than the sum of its proper divisors (808470105478368).

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

420114720503712 is a wasteful number, since it uses less digits than its factorization.

420114720503712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11607944366 (or 11607944358 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 39.

Adding to 420114720503712 its reverse (217305027411024), we get a palindrome (637419747914736).

The spelling of 420114720503712 in words is "four hundred twenty trillion, one hundred fourteen billion, seven hundred twenty million, five hundred three thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 29 32 39 48 52 58 78 87 96 104 116 156 174 208 232 312 348 377 416 464 624 696 754 928 1131 1248 1392 1508 2262 2784 3016 4524 6032 9048 12064 18096 36192 11607944311 23215888622 34823832933 46431777244 69647665866 92863554488 139295331732 150903276043 185727108976 278590663464 301806552086 336630385019 371454217952 452709828129 557181326928 603613104172 673260770038 905419656258 1009891155057 1114362653856 1207226208344 1346521540076 1810839312516 2019782310114 2414452416688 2693043080152 3621678625032 4039564620228 4376195005247 4828904833376 5386086160304 7243357250064 8079129240456 8752390010494 10772172320608 13128585015741 14486714500128 16158258480912 17504780020988 26257170031482 32316516961824 35009560041976 52514340062964 70019120083952 105028680125928 140038240167904 210057360251856 420114720503712