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4053051405 = 3351319197617
BaseRepresentation
bin1111000110010100…
…1010100000001101
3101110110112100022000
43301211022200031
531300040121110
61510102542513
7202303240254
oct36145124015
911413470260
104053051405
11179a929567
12951437a39
134c7907990
142a640379b
1518ac541c0
hexf194a80d

4053051405 has 128 divisors (see below), whose sum is σ = 8222860800. Its totient is φ = 1877686272.

The previous prime is 4053051371. The next prime is 4053051407. The reversal of 4053051405 is 5041503504.

4053051405 is a `hidden beast` number, since 40 + 530 + 51 + 40 + 5 = 666.

It is not a de Polignac number, because 4053051405 - 29 = 4053050893 is a prime.

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 (4053051407) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6568657 + ... + 6569273.

It is an arithmetic number, because the mean of its divisors is an integer number (64241100).

Almost surely, 24053051405 is an apocalyptic number.

4053051405 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4053051405 is an abundant number, since it is smaller than the sum of its proper divisors (4169809395).

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

4053051405 is a wasteful number, since it uses less digits than its factorization.

4053051405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 860 (or 854 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 4053051405 is about 63663.5798946305. The cubic root of 4053051405 is about 1594.3880744715.

Adding to 4053051405 its reverse (5041503504), we get a palindrome (9094554909).

The spelling of 4053051405 in words is "four billion, fifty-three million, fifty-one thousand, four hundred five".

Divisors: 1 3 5 9 13 15 19 27 39 45 57 65 95 117 135 171 195 197 247 285 351 513 585 591 617 741 855 985 1235 1755 1773 1851 2223 2561 2565 2955 3085 3705 3743 5319 5553 6669 7683 8021 8865 9255 11115 11229 11723 12805 16659 18715 23049 24063 26595 27765 33345 33687 35169 38415 40105 48659 56145 58615 69147 72189 83295 101061 105507 115245 120315 121549 145977 152399 168435 175845 216567 243295 316521 345735 360945 364647 437931 457197 505305 527535 607745 729885 761995 1082835 1093941 1313793 1371591 1580137 1582605 1823235 2189655 2285985 2309431 3281823 4114773 4740411 5469705 6568965 6857955 6928293 7900685 11547155 14221233 16409115 20573865 20784879 23702055 30022603 34641465 42663699 62354637 71106165 90067809 103924395 150113015 213318495 270203427 311773185 450339045 810610281 1351017135 4053051405