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401173036304 = 242923312972861
BaseRepresentation
bin1011101011001111100…
…01101011110100010000
31102100111102211210021212
411311213301223310100
523033100244130204
6504144002235252
740661304354635
oct5654761536420
91370442753255
10401173036304
111451557a1997
1265900055b28
132baa4681871
14155b9cb418c
15a67e8a9c6e
hex5d67c6bd10

401173036304 has 80 divisors (see below), whose sum is σ = 808431315120. Its totient is φ = 192622510080.

The previous prime is 401173036279. The next prime is 401173036343. The reversal of 401173036304 is 403630371104.

It can be written as a sum of positive squares in 8 ways, for example, as 24118090000 + 377054946304 = 155300^2 + 614048^2 .

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, 140219834 + ... + 140222694.

It is an arithmetic number, because the mean of its divisors is an integer number (10105391439).

Almost surely, 2401173036304 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 401173036304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404215657560).

401173036304 is an abundant number, since it is smaller than the sum of its proper divisors (407258278816).

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

401173036304 is a wasteful number, since it uses less digits than its factorization.

401173036304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4428 (or 4422 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 32.

The spelling of 401173036304 in words is "four hundred one billion, one hundred seventy-three million, thirty-six thousand, three hundred four".

Divisors: 1 2 4 8 16 29 58 116 232 233 464 466 932 1297 1864 2594 2861 3728 5188 5722 6757 10376 11444 13514 20752 22888 27028 37613 45776 54056 75226 82969 108112 150452 165938 300904 302201 331876 601808 604402 663752 666613 1208804 1327504 1333226 2417608 2666452 3710717 4835216 5332904 7421434 8763829 10665808 14842868 17527658 19331777 29685736 35055316 38663554 59371472 70110632 77327108 107610793 140221264 154654216 215221586 309308432 430443172 860886344 864597061 1721772688 1729194122 3458388244 6916776488 13833552976 25073314769 50146629538 100293259076 200586518152 401173036304