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4401013010058 = 233721777935999
BaseRepresentation
bin100000000001011000011…
…0100010010111010001010
3120120201210011102022111000
41000002300310102322022
51034101233312310213
613205444130315430
7632651130232200
oct100026064227212
916521704368430
104401013010058
111447506123465
125b0b42428b76
1325c02427a8c2
1411301dc79070
15797317a4c73
hex400b0d12e8a

4401013010058 has 96 divisors (see below), whose sum is σ = 11383182720000. Its totient is φ = 1256723330688.

The previous prime is 4401013010057. The next prime is 4401013010071. The reversal of 4401013010058 is 8500103101044.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (4401013010057) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4233943 + ... + 5169941.

It is an arithmetic number, because the mean of its divisors is an integer number (118574820000).

Almost surely, 24401013010058 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4401013010058, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5691591360000).

4401013010058 is an abundant number, since it is smaller than the sum of its proper divisors (6982169709942).

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

4401013010058 is a wasteful number, since it uses less digits than its factorization.

4401013010058 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 937801 (or 937788 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 4401013010058 in words is "four trillion, four hundred one billion, thirteen million, ten thousand, fifty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 98 126 147 189 294 378 441 882 1323 1777 2646 3554 5331 10662 12439 15993 24878 31986 37317 47979 74634 87073 95958 111951 174146 223902 261219 335853 522438 671706 783657 935999 1567314 1871998 2350971 2807997 4701942 5615994 6551993 8423991 13103986 16847982 19655979 25271973 39311958 45863951 50543946 58967937 91727902 117935874 137591853 176903811 275183706 353807622 412775559 825551118 1238326677 1663270223 2476653354 3326540446 4989810669 9979621338 11642891561 14969432007 23285783122 29938864014 34928674683 44908296021 69857349366 81500240927 89816592042 104786024049 163000481854 209572048098 244500722781 314358072147 489001445562 628716144294 733502168343 1467004336686 2200506505029 4401013010058