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4122426645320 = 2353722912379833
BaseRepresentation
bin111011111111010011110…
…001101001101101001000
3112121002201000000200000012
4323333103301221231020
51020020212210122240
612433452221531052
7603556401216164
oct73772361515510
915532630020005
104122426645320
11134a347408295
12566b54413a88
1323b98796a7b9
14103752a7dca4
1572378eebb65
hex3bfd3c69b48

4122426645320 has 128 divisors (see below), whose sum is σ = 9576455407200. Its totient is φ = 1595944083456.

The previous prime is 4122426645319. The next prime is 4122426645401. The reversal of 4122426645320 is 235466242214.

It can be written as a sum of positive squares in 16 ways, for example, as 2741984939236 + 1380441706084 = 1655894^2 + 1174922^2 .

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, 419239124 + ... + 419248956.

Almost surely, 24122426645320 is an apocalyptic number.

4122426645320 is a gapful number since it is divisible by the number (40) 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 4122426645320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4788227703600).

4122426645320 is an abundant number, since it is smaller than the sum of its proper divisors (5454028761880).

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

4122426645320 is a wasteful number, since it uses less digits than its factorization.

4122426645320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11347 (or 11343 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 41.

The spelling of 4122426645320 in words is "four trillion, one hundred twenty-two billion, four hundred twenty-six million, six hundred forty-five thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 229 296 370 458 740 916 1145 1237 1480 1832 2290 2474 4580 4948 6185 8473 9160 9833 9896 12370 16946 19666 24740 33892 39332 42365 45769 49165 49480 67784 78664 84730 91538 98330 169460 183076 196660 228845 283273 338920 363821 366152 393320 457690 566546 727642 915380 1133092 1416365 1455284 1819105 1830760 2251757 2266184 2832730 2910568 3638210 4503514 5665460 7276420 9007028 10481101 11258785 11330920 12163421 14552840 18014056 20962202 22517570 24326842 41924404 45035140 48653684 52405505 60817105 83315009 83848808 90070280 97307368 104811010 121634210 166630018 209622020 243268420 333260036 416575045 419244040 450046577 486536840 666520072 833150090 900093154 1666300180 1800186308 2250232885 2785423409 3332600360 3600372616 4500465770 5570846818 9000931540 11141693636 13927117045 18001863080 22283387272 27854234090 55708468180 103060666133 111416936360 206121332266 412242664532 515303330665 824485329064 1030606661330 2061213322660 4122426645320