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401201300304 = 243272053193871
BaseRepresentation
bin1011101011010010111…
…01100000001101010000
31102100120102000202012200
411311221131200031100
523033130013102204
6504150452123200
740662066533160
oct5655135401520
91370512022180
10401201300304
1114516a747072
1265909606500
132baaa49961c
14155bd9505a0
15a6820de539
hex5d69760350

401201300304 has 120 divisors (see below), whose sum is σ = 1283838995712. Its totient is φ = 114572517120.

The previous prime is 401201300293. The next prime is 401201300327. The reversal of 401201300304 is 403003102104.

401201300304 is a `hidden beast` number, since 40 + 1 + 20 + 1 + 300 + 304 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 1972489 + ... + 2166359.

Almost surely, 2401201300304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401201300304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641919497856).

401201300304 is an abundant number, since it is smaller than the sum of its proper divisors (882637695408).

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

401201300304 is a wasteful number, since it uses less digits than its factorization.

401201300304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195945 (or 195936 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 401201300304 its reverse (403003102104), we get a palindrome (804204402408).

The spelling of 401201300304 in words is "four hundred one billion, two hundred one million, three hundred thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 2053 4106 6159 8212 12318 14371 16424 18477 24636 28742 32848 36954 43113 49272 57484 73908 86226 98544 114968 129339 147816 172452 193871 229936 258678 295632 344904 387742 517356 581613 689808 775484 1034712 1163226 1357097 1550968 1744839 2069424 2326452 2714194 3101936 3489678 4071291 4652904 5428388 6979356 8142582 9305808 10856776 12213873 13958712 16285164 21713552 24427746 27917424 32570328 48855492 65140656 97710984 195421968 398017163 796034326 1194051489 1592068652 2388102978 2786120141 3184137304 3582154467 4776205956 5572240282 6368274608 7164308934 8358360423 9552411912 11144480564 14328617868 16716720846 19104823824 22288961128 25075081269 28657235736 33433441692 44577922256 50150162538 57314471472 66866883384 100300325076 133733766768 200600650152 401201300304