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10405012044330 = 23252919121208493
BaseRepresentation
bin1001011101101001101100…
…0010111111101000101010
31100211201011011211212002200
42113122123002333220222
52330433431040404310
634043555130441030
72122510620045411
oct227323302775052
940751134755080
1010405012044330
11335181704a512
121200689593176
135a625ac81667
1427d868c0a478
151309d18719c0
hex9769b0bfa2a

10405012044330 has 96 divisors (see below), whose sum is σ = 27987492321360. Its totient is φ = 2678838650880.

The previous prime is 10405012044313. The next prime is 10405012044337. The reversal of 10405012044330 is 3344021050401.

It is a happy number.

10405012044330 is a `hidden beast` number, since 10 + 40 + 50 + 120 + 443 + 3 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3248418661569 + 7156593382761 = 1802337^2 + 2675181^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10405012044294 and 10405012044303.

It is not an unprimeable number, because it can be changed into a prime (10405012044337) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49801564 + ... + 50010056.

Almost surely, 210405012044330 is an apocalyptic number.

10405012044330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10405012044330 is an abundant number, since it is smaller than the sum of its proper divisors (17582480277030).

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

10405012044330 is a wasteful number, since it uses less digits than its factorization.

10405012044330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227656 (or 227653 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 10405012044330 its reverse (3344021050401), we get a palindrome (13749033094731).

The spelling of 10405012044330 in words is "ten trillion, four hundred five billion, twelve million, forty-four thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 87 90 145 174 261 290 435 522 870 1305 2610 19121 38242 57363 95605 114726 172089 191210 208493 286815 344178 416986 554509 573630 625479 860445 1042465 1109018 1250958 1663527 1720890 1876437 2084930 2772545 3127395 3327054 3752874 4990581 5545090 6046297 6254790 8317635 9382185 9981162 12092594 16635270 18138891 18764370 24952905 30231485 36277782 49905810 54416673 60462970 90694455 108833346 181388910 272083365 544166730 3986594653 7973189306 11959783959 19932973265 23919567918 35879351877 39865946530 59798919795 71758703754 115611244937 119597839590 179396759385 231222489874 346833734811 358793518770 578056224685 693667469622 1040501204433 1156112449370 1734168674055 2081002408866 3468337348110 5202506022165 10405012044330