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344040121530 = 23257278013633
BaseRepresentation
bin1010000000110100110…
…00111010010010111010
31012220000202012000002100
411000122120322102322
521114043232342110
6422014433444230
733566430532200
oct5003230722272
91186022160070
10344040121530
111229a7752456
1256816410676
132659ac0c811
141291a109070
158e38be3bc0
hex501a63a4ba

344040121530 has 72 divisors (see below), whose sum is σ = 1040545850292. Its totient is φ = 78637741056.

The previous prime is 344040121517. The next prime is 344040121591. The reversal of 344040121530 is 35121040443.

It is a happy number.

344040121530 is a `hidden beast` number, since 3 + 4 + 4 + 0 + 4 + 0 + 121 + 530 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 311869753209 + 32170368321 = 558453^2 + 179361^2 .

It is a junction number, because it is equal to n+sod(n) for n = 344040121494 and 344040121503.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 39002407 + ... + 39011226.

Almost surely, 2344040121530 is an apocalyptic number.

344040121530 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

344040121530 is an abundant number, since it is smaller than the sum of its proper divisors (696505728762).

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

344040121530 is a wasteful number, since it uses less digits than its factorization.

344040121530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78013660 (or 78013650 counting only the distinct ones).

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

Adding to 344040121530 its reverse (35121040443), we get a palindrome (379161161973).

The spelling of 344040121530 in words is "three hundred forty-four billion, forty million, one hundred twenty-one thousand, five hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 90 98 105 126 147 210 245 294 315 441 490 630 735 882 1470 2205 4410 78013633 156027266 234040899 390068165 468081798 546095431 702122697 780136330 1092190862 1170204495 1404245394 1638286293 2340408990 2730477155 3276572586 3510613485 3822668017 4914858879 5460954310 7021226970 7645336034 8191431465 9829717758 11468004051 16382862930 19113340085 22936008102 24574294395 34404012153 38226680170 49148588790 57340020255 68808024306 114680040510 172020060765 344040121530