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20214155523440 = 245438966024809
BaseRepresentation
bin1001001100010011110011…
…00011110011010101110000
32122120110021020212021210002
410212021321203303111300
510122142042303222230
6110554131014125132
74154265421650344
oct446117143632560
978513236767702
1020214155523440
1164938588a153a
12232577b9507a8
13b382571c5a88
144dc52833b624
15250c3ae0e545
hex1262798f3570

20214155523440 has 80 divisors (see below), whose sum is σ = 48631234053600. Its totient is φ = 7808886091776.

The previous prime is 20214155523391. The next prime is 20214155523479. The reversal of 20214155523440 is 4432555141202.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×202141555234403 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 20214155523394 and 20214155523403.

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, 32706245 + ... + 33318564.

It is an arithmetic number, because the mean of its divisors is an integer number (607890425670).

Almost surely, 220214155523440 is an apocalyptic number.

20214155523440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20214155523440 is an abundant number, since it is smaller than the sum of its proper divisors (28417078530160).

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

20214155523440 is a wasteful number, since it uses less digits than its factorization.

20214155523440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66024954 (or 66024948 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 38.

The spelling of 20214155523440 in words is "twenty trillion, two hundred fourteen billion, one hundred fifty-five million, five hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 43 80 86 89 172 178 215 344 356 430 445 688 712 860 890 1424 1720 1780 3440 3560 3827 7120 7654 15308 19135 30616 38270 61232 76540 153080 306160 66024809 132049618 264099236 330124045 528198472 660248090 1056396944 1320496180 2640992360 2839066787 5281984720 5678133574 5876208001 11356267148 11752416002 14195333935 22712534296 23504832004 28390667870 29381040005 45425068592 47009664008 56781335740 58762080010 94019328016 113562671480 117524160020 227125342960 235048320040 252676944043 470096640080 505353888086 1010707776172 1263384720215 2021415552344 2526769440430 4042831104688 5053538880860 10107077761720 20214155523440