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4030740441 = 3372131311789
BaseRepresentation
bin1111000001000000…
…0011011111011001
3101101220112211102000
43300100003133121
531223332143231
61503544431213
7201612504600
oct36020033731
911356484360
104030740441
11178927aa52
12945a78509
134c30c5720
142a3476a37
15188ce86e6
hexf04037d9

4030740441 has 96 divisors (see below), whose sum is σ = 7542057600. Its totient is φ = 2108695680.

The previous prime is 4030740419. The next prime is 4030740481. The reversal of 4030740441 is 1440470304.

It is not a de Polignac number, because 4030740441 - 26 = 4030740377 is a prime.

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 (4030740481) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2252175 + ... + 2253963.

It is an arithmetic number, because the mean of its divisors is an integer number (78563100).

Almost surely, 24030740441 is an apocalyptic number.

It is an amenable number.

4030740441 is a deficient number, since it is larger than the sum of its proper divisors (3511317159).

4030740441 is a wasteful number, since it uses less digits than its factorization.

4030740441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1956 (or 1943 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 4030740441 is about 63488.1125959813. The cubic root of 4030740441 is about 1591.4571298750.

The spelling of 4030740441 in words is "four billion, thirty million, seven hundred forty thousand, four hundred forty-one".

Divisors: 1 3 7 9 13 21 27 39 49 63 91 117 131 147 189 273 351 393 441 637 819 917 1179 1323 1703 1789 1911 2457 2751 3537 5109 5367 5733 6419 8253 11921 12523 15327 16101 17199 19257 23257 24759 35763 37569 45981 48303 57771 69771 83447 87661 107289 112707 162799 173313 209313 234359 250341 262983 321867 338121 488397 627939 703077 751023 788949 1139593 1465191 1640513 2109231 2253069 2366847 3046667 3418779 4395573 4921539 6327693 9140001 10256337 11483591 14764617 21326669 27420003 30769011 34450773 44293851 63980007 82260009 103352319 149286683 191940021 310056957 447860049 575820063 1343580147 4030740441