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20414407640000 = 26541146396381
BaseRepresentation
bin1001010010001000110011…
…00001000000001111000000
32200021121011011112211011212
410221010121201000033000
510133432201323440000
6111230125512025252
74204615023603143
oct451043141001700
980247134484155
1020414407640000
116560779a01630
122358547992228
13b510bb818b3a
145080c3aca05a
1525605b584c35
hex1291198403c0

20414407640000 has 140 divisors (see below), whose sum is σ = 55223015297208. Its totient is φ = 7423420800000.

The previous prime is 20414407639943. The next prime is 20414407640167. The reversal of 20414407640000 is 4670441402.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 22758191 + ... + 23638190.

Almost surely, 220414407640000 is an apocalyptic number.

20414407640000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20414407640000 is an abundant number, since it is smaller than the sum of its proper divisors (34808607657208).

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

20414407640000 is an equidigital number, since it uses as much as digits as its factorization.

20414407640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46396424 (or 46396399 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 32.

The spelling of 20414407640000 in words is "twenty trillion, four hundred fourteen billion, four hundred seven million, six hundred forty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 125 160 176 200 220 250 275 320 352 400 440 500 550 625 704 800 880 1000 1100 1250 1375 1600 1760 2000 2200 2500 2750 3520 4000 4400 5000 5500 6875 8000 8800 10000 11000 13750 17600 20000 22000 27500 40000 44000 55000 88000 110000 220000 440000 46396381 92792762 185585524 231981905 371171048 463963810 510360191 742342096 927927620 1020720382 1159909525 1484684192 1855855240 2041440764 2319819050 2551800955 2969368384 3711710480 4082881528 4639638100 5103601910 5799547625 7423420960 8165763056 9279276200 10207203820 11599095250 12759004775 14846841920 16331526112 18558552400 20414407640 23198190500 25518009550 28997738125 32663052224 37117104800 40828815280 46396381000 51036019100 57995476250 63795023875 74234209600 81657630560 92792762000 102072038200 115990952500 127590047750 163315261120 185585524000 204144076400 231981905000 255180095500 318975119375 371171048000 408288152800 463963810000 510360191000 637950238750 816576305600 927927620000 1020720382000 1275900477500 1855855240000 2041440764000 2551800955000 4082881528000 5103601910000 10207203820000 20414407640000