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441113303142 = 233377910925639
BaseRepresentation
bin1100110101101000110…
…01101101100001100110
31120011120221111120022000
412122310121231201212
524211400001200032
6534351124550130
743604125132401
oct6326431554146
91504527446260
10441113303142
11160090a61586
12715a7b52346
133279b24b755
14174c8572d38
15b71aee2e7c
hex66b466d866

441113303142 has 128 divisors (see below), whose sum is σ = 1028881920000. Its totient is φ = 139951483776.

The previous prime is 441113303123. The next prime is 441113303143. The reversal of 441113303142 is 241303311144.

441113303142 is a `hidden beast` number, since 4 + 4 + 1 + 11 + 330 + 314 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441113303143) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17191959 + ... + 17217597.

It is an arithmetic number, because the mean of its divisors is an integer number (8038140000).

Almost surely, 2441113303142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 441113303142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514440960000).

441113303142 is an abundant number, since it is smaller than the sum of its proper divisors (587768616858).

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

441113303142 is a wasteful number, since it uses less digits than its factorization.

441113303142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25875 (or 25869 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 441113303142 its reverse (241303311144), we get a palindrome (682416614286).

The spelling of 441113303142 in words is "four hundred forty-one billion, one hundred thirteen million, three hundred three thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 27 37 54 74 79 109 111 158 218 222 237 327 333 474 654 666 711 981 999 1422 1962 1998 2133 2923 2943 4033 4266 5846 5886 8066 8611 8769 12099 17222 17538 24198 25639 25833 26307 36297 51278 51666 52614 72594 76917 77499 78921 108891 153834 154998 157842 217782 230751 232497 318607 461502 464994 637214 692253 948643 955821 1384506 1897286 1911642 2025481 2794651 2845929 2867463 4050962 5589302 5691858 5734926 6076443 8383953 8537787 8602389 12152886 16767906 17075574 17204778 18229329 25151859 25613361 36458658 50303718 51226722 54687987 74942797 75455577 103402087 109375974 149885594 150911154 206804174 220777429 224828391 310206261 441554858 449656782 620412522 662332287 674485173 930618783 1324664574 1348970346 1861237566 1986996861 2023455519 2791856349 3973993722 4046911038 5583712698 5960990583 8168764873 11921981166 16337529746 24506294619 49012589238 73518883857 147037767714 220556651571 441113303142