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21142020040000 = 2654643822007
BaseRepresentation
bin1001100111010100000101…
…00110000010010101000000
32202212011020201122110211021
410303222002212002111000
510232342324112240000
6112544302050555224
74311313652135446
oct463520246022500
982764221573737
1021142020040000
11681130a161012
12245556b898b14
13ba48b77b42b2
145313ca2c6b96
15269e4483e11a
hex133a82982540

21142020040000 has 140 divisors (see below), whose sum is σ = 52506934827424. Its totient is φ = 8443645632000.

The previous prime is 21142020039967. The next prime is 21142020040003. The reversal of 21142020040000 is 4002024112.

It is a super-2 number, since 2×211420200400002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21142020040003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 25308997 + ... + 26131003.

Almost surely, 221142020040000 is an apocalyptic number.

21142020040000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21142020040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26253467413712).

21142020040000 is an abundant number, since it is smaller than the sum of its proper divisors (31364914787424).

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

21142020040000 is an frugal number, since it uses more digits than its factorization.

21142020040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 822682 (or 822657 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 21142020040000 its reverse (4002024112), we get a palindrome (21146022064112).

The spelling of 21142020040000 in words is "twenty-one trillion, one hundred forty-two billion, twenty million, forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 643 800 1000 1250 1286 1600 2000 2500 2572 3215 4000 5000 5144 6430 8000 10000 10288 12860 16075 20000 20576 25720 32150 40000 41152 51440 64300 80375 102880 128600 160750 205760 257200 321500 401875 514400 643000 803750 822007 1028800 1286000 1607500 1644014 2572000 3215000 3288028 4110035 5144000 6430000 6576056 8220070 12860000 13152112 16440140 20550175 25720000 26304224 32880280 41100350 52608448 65760560 82200700 102750875 131521120 164401400 205501750 263042240 328802800 411003500 513754375 528550501 657605600 822007000 1027508750 1057101002 1315211200 1644014000 2055017500 2114202004 2642752505 3288028000 4110035000 4228404008 5285505010 6576056000 8220070000 8456808016 10571010020 13213762525 16440140000 16913616032 21142020040 26427525050 32880280000 33827232064 42284040080 52855050100 66068812625 84568080160 105710100200 132137625250 169136160320 211420200400 264275250500 330344063125 422840400800 528550501000 660688126250 845680801600 1057101002000 1321376252500 2114202004000 2642752505000 4228404008000 5285505010000 10571010020000 21142020040000