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4130313420 = 22351073671753
BaseRepresentation
bin1111011000101111…
…1001010011001100
3101122211220122212010
43312023321103030
531424330012140
61521502541220
7204232041042
oct36613712314
911584818763
104130313420
11182a4aa672
12973297810
1350a919a4c
142b2796392
15192916880
hexf62f94cc

4130313420 has 96 divisors (see below), whose sum is σ = 11711443968. Its totient is φ = 1087529472.

The previous prime is 4130313403. The next prime is 4130313433. The reversal of 4130313420 is 243130314.

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, 2355264 + ... + 2357016.

It is an arithmetic number, because the mean of its divisors is an integer number (121994208).

Almost surely, 24130313420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4130313420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5855721984).

4130313420 is an abundant number, since it is smaller than the sum of its proper divisors (7581130548).

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

4130313420 is a wasteful number, since it uses less digits than its factorization.

4130313420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2239 (or 2237 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 4130313420 is about 64267.5144999400. The cubic root of 4130313420 is about 1604.4554746785.

Adding to 4130313420 its reverse (243130314), we get a palindrome (4373443734).

The spelling of 4130313420 in words is "four billion, one hundred thirty million, three hundred thirteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 107 214 321 367 428 535 642 734 1070 1101 1284 1468 1605 1753 1835 2140 2202 3210 3506 3670 4404 5259 5505 6420 7012 7340 8765 10518 11010 17530 21036 22020 26295 35060 39269 52590 78538 105180 117807 157076 187571 196345 235614 375142 392690 471228 562713 589035 643351 750284 785380 937855 1125426 1178070 1286702 1875710 1930053 2250852 2356140 2573404 2813565 3216755 3751420 3860106 5627130 6433510 7720212 9650265 11254260 12867020 19300530 38601060 68838557 137677114 206515671 275354228 344192785 413031342 688385570 826062684 1032578355 1376771140 2065156710 4130313420