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20401000146401 = 729711415458277
BaseRepresentation
bin1001010001101111110100…
…10111011110010111100001
32200020022112202222120120212
410220313322113132113201
510133222222014141101
6111220031242543505
74203631542023420
oct450677227362741
980208482876525
1020401000146401
116556019803206
122355a25807b95
13b4ca62bb0a84
145075b11a92b7
15255a2448e1bb
hex128dfa5de5e1

20401000146401 has 16 divisors (see below), whose sum is σ = 24459119043840. Its totient is φ = 16645789325760.

The previous prime is 20401000146391. The next prime is 20401000146473. The reversal of 20401000146401 is 10464100010402.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-20401000146401 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20401000146481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 707714726 + ... + 707743551.

It is an arithmetic number, because the mean of its divisors is an integer number (1528694940240).

Almost surely, 220401000146401 is an apocalyptic number.

It is an amenable number.

20401000146401 is a deficient number, since it is larger than the sum of its proper divisors (4058118897439).

20401000146401 is a wasteful number, since it uses less digits than its factorization.

20401000146401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1415458384.

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 20401000146401 its reverse (10464100010402), we get a palindrome (30865100156803).

The spelling of 20401000146401 in words is "twenty trillion, four hundred one billion, one hundred forty-six thousand, four hundred one".

Divisors: 1 7 29 71 203 497 2059 14413 1415458277 9908207939 41048290033 100497537667 287338030231 703482763669 2914428592343 20401000146401