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3412032421440 = 263519187063181
BaseRepresentation
bin110001101001101100111…
…110101111111001000000
3110002012001101221222122110
4301221230332233321000
5421400320244441230
611131244400135320
7501340226024016
oct61515476577100
913065041858573
103412032421440
1110a6042394425
12471336907540
131b99a3c44c36
14bb2011168b6
155db4c6644b0
hex31a6cfafe40

3412032421440 has 112 divisors (see below), whose sum is σ = 11403371574720. Its totient is φ = 861987133440.

The previous prime is 3412032421423. The next prime is 3412032421451. The reversal of 3412032421440 is 441242302143.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3412032421398 and 3412032421407.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93513351 + ... + 93549830.

Almost surely, 23412032421440 is an apocalyptic number.

3412032421440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3412032421440 is an abundant number, since it is smaller than the sum of its proper divisors (7991339153280).

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

3412032421440 is a wasteful number, since it uses less digits than its factorization.

3412032421440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187063220 (or 187063210 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 3412032421440 its reverse (441242302143), we get a palindrome (3853274723583).

The spelling of 3412032421440 in words is "three trillion, four hundred twelve billion, thirty-two million, four hundred twenty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 64 76 80 95 96 114 120 152 160 190 192 228 240 285 304 320 380 456 480 570 608 760 912 960 1140 1216 1520 1824 2280 3040 3648 4560 6080 9120 18240 187063181 374126362 561189543 748252724 935315905 1122379086 1496505448 1870631810 2244758172 2805947715 2993010896 3554200439 3741263620 4489516344 5611895430 5986021792 7108400878 7482527240 8979032688 10662601317 11223790860 11972043584 14216801756 14965054480 17771002195 17958065376 21325202634 22447581720 28433603512 29930108960 35542004390 35916130752 42650405268 44895163440 53313006585 56867207024 59860217920 71084008780 85300810536 89790326880 106626013170 113734414048 142168017560 170601621072 179580653760 213252026340 227468828096 284336035120 341203242144 426504052680 568672070240 682406484288 853008105360 1137344140480 1706016210720 3412032421440