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314425388130 = 235725746312583
BaseRepresentation
bin1001001001101010011…
…01101010110001100010
31010001120211211200010120
410210311031222301202
520122420344410010
6400240043141110
731500516462450
oct4446515526142
91101524750116
10314425388130
1111138aa30977
1250b30514796
132385b5cab29
141130ad0b9d0
1582a3d1ce70
hex493536ac62

314425388130 has 128 divisors (see below), whose sum is σ = 867718545408. Its totient is φ = 71428718592.

The previous prime is 314425388107. The next prime is 314425388143. The reversal of 314425388130 is 31883524413.

It is a super-2 number, since 2×3144253881302 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24981819 + ... + 24994401.

It is an arithmetic number, because the mean of its divisors is an integer number (6779051136).

Almost surely, 2314425388130 is an apocalyptic number.

314425388130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 314425388130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433859272704).

314425388130 is an abundant number, since it is smaller than the sum of its proper divisors (553293157278).

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

314425388130 is a wasteful number, since it uses less digits than its factorization.

314425388130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13320.

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 314425388130 in words is "three hundred fourteen billion, four hundred twenty-five million, three hundred eighty-eight thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 257 463 514 771 926 1285 1389 1542 1799 2315 2570 2778 3241 3598 3855 4630 5397 6482 6945 7710 8995 9723 10794 12583 13890 16205 17990 19446 25166 26985 32410 37749 48615 53970 62915 75498 88081 97230 118991 125830 176162 188745 237982 264243 356973 377490 440405 528486 594955 713946 832937 880810 1189910 1321215 1665874 1784865 2498811 2642430 3233831 3569730 4164685 4997622 5825929 6467662 8329370 9701493 11651858 12494055 16169155 17477787 19402986 22636817 24988110 29129645 32338310 34955574 40781503 45273634 48507465 58259290 67910451 81563006 87388935 97014930 113184085 122344509 135820902 174777870 203907515 226368170 244689018 339552255 407815030 611722545 679104510 1223445090 1497263753 2994527506 4491791259 7486318765 8983582518 10480846271 14972637530 20961692542 22458956295 31442538813 44917912590 52404231355 62885077626 104808462710 157212694065 314425388130