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20401114214034 = 2331721307260939
BaseRepresentation
bin1001010001110000000010…
…01010100110111010010010
32200020022211201121210222000
410220320001022212322102
510133222440214322114
6111220050435454430
74203634425416211
oct450700112467222
980208751553860
1020401114214034
116556078132984
122355a57a57416
13b4ca8070b708
145075c23bd078
15255a2e4c1e09
hex128e012a6e92

20401114214034 has 48 divisors (see below), whose sum is σ = 48159493029600. Its totient is φ = 6400349552448.

The previous prime is 20401114214029. The next prime is 20401114214141. The reversal of 20401114214034 is 43041241110402.

20401114214034 is a `hidden beast` number, since 2 + 0 + 401 + 1 + 14 + 214 + 0 + 34 = 666.

It is a super-4 number, since 4×204011142140344 (a number of 54 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 20401114213989 and 20401114214007.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 653614864 + ... + 653646075.

It is an arithmetic number, because the mean of its divisors is an integer number (1003322771450).

Almost surely, 220401114214034 is an apocalyptic number.

20401114214034 is an abundant number, since it is smaller than the sum of its proper divisors (27758378815566).

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

20401114214034 is a wasteful number, since it uses less digits than its factorization.

20401114214034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1307260984 (or 1307260961 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 20401114214034 its reverse (43041241110402), we get a palindrome (63442355324436).

The spelling of 20401114214034 in words is "twenty trillion, four hundred one billion, one hundred fourteen million, two hundred fourteen thousand, thirty-four".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 153 289 306 459 578 867 918 1734 2601 5202 7803 15606 1307260939 2614521878 3921782817 7843565634 11765348451 22223435963 23530696902 35296045353 44446871926 66670307889 70592090706 133340615778 200010923667 377798411371 400021847334 600032771001 755596822742 1133395234113 1200065542002 2266790468226 3400185702339 6800371404678 10200557107017 20401114214034