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4041661404 = 22311376411291
BaseRepresentation
bin1111000011100110…
…1101101111011100
3101102200002200011010
43300321231233130
531234131131104
61505014455220
7202104361254
oct36071555734
911380080133
104041661404
11179445a040
12949664510
134c544a531
142a4aba964
15189c54489
hexf0e6dbdc

4041661404 has 96 divisors (see below), whose sum is σ = 10590596352. Its totient is φ = 1188864000.

The previous prime is 4041661397. The next prime is 4041661411.

4041661404 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (4041661397) and next prime (4041661411).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3129999 + ... + 3131289.

It is an arithmetic number, because the mean of its divisors is an integer number (110318712).

Almost surely, 24041661404 is an apocalyptic number.

4041661404 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4041661404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5295298176).

4041661404 is an abundant number, since it is smaller than the sum of its proper divisors (6548934948).

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

4041661404 is a wasteful number, since it uses less digits than its factorization.

4041661404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1987 (or 1985 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 4041661404 is about 63574.0623525035. The cubic root of 4041661404 is about 1592.8931415694.

The spelling of 4041661404 in words is "four billion, forty-one million, six hundred sixty-one thousand, four hundred four".

Divisors: 1 2 3 4 6 11 12 22 33 37 44 66 74 111 132 148 222 407 444 641 814 1221 1282 1291 1628 1923 2442 2564 2582 3846 3873 4884 5164 7051 7692 7746 14102 14201 15492 21153 23717 28204 28402 42306 42603 47434 47767 56804 71151 84612 85206 94868 95534 142302 143301 170412 191068 260887 284604 286602 521774 525437 573204 782661 827531 1043548 1050874 1565322 1576311 1655062 2101748 2482593 3130644 3152622 3310124 4965186 6305244 9102841 9930372 18205682 27308523 30618647 36411364 54617046 61237294 91855941 109234092 122474588 183711882 336805117 367423764 673610234 1010415351 1347220468 2020830702 4041661404