Search a number
-
+
405203305332 = 223721126838521
BaseRepresentation
bin1011110010101111111…
…11111100001101110100
31102201220022111200001010
411321113333330031310
523114324021232312
6510051533032220
741163213160260
oct5712777741564
91381808450033
10405203305332
1114693377a741
1266645925670
132c297640837
141587d2670a0
15a81860d93c
hex5e57ffc374

405203305332 has 96 divisors (see below), whose sum is σ = 1086195303424. Its totient is φ = 115167225600.

The previous prime is 405203305291. The next prime is 405203305427. The reversal of 405203305332 is 233503302504.

It is a self number, because there is not a number n which added to its sum of digits gives 405203305332.

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, 47549232 + ... + 47557752.

Almost surely, 2405203305332 is an apocalyptic number.

405203305332 is a gapful number since it is divisible by the number (42) 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 405203305332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543097651712).

405203305332 is an abundant number, since it is smaller than the sum of its proper divisors (680991998092).

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

405203305332 is a wasteful number, since it uses less digits than its factorization.

405203305332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11429 (or 11427 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 30.

Adding to 405203305332 its reverse (233503302504), we get a palindrome (638706607836).

The spelling of 405203305332 in words is "four hundred five billion, two hundred three million, three hundred five thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 211 422 633 844 1266 1477 2532 2683 2954 4431 5366 5908 8049 8521 8862 10732 16098 17042 17724 18781 25563 32196 34084 37562 51126 56343 59647 75124 102252 112686 119294 178941 225372 238588 357882 566113 715764 1132226 1698339 1797931 2264452 3396678 3595862 3962791 5393793 6793356 7191724 7925582 10787586 11888373 12585517 15851164 21575172 22861843 23776746 25171034 37756551 45723686 47553492 50342068 68585529 75513102 91447372 137171058 151026204 160032901 274342116 320065802 480098703 640131604 960197406 1920394812 4823848873 9647697746 14471546619 19295395492 28943093238 33766942111 57886186476 67533884222 101300826333 135067768444 202601652666 405203305332