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420420041130 = 235712392812939
BaseRepresentation
bin1100001111000101111…
…11001011100110101010
31111012011210110221100110
412013202333023212222
523342010012304010
6521045512315150
742242254246425
oct6074277134652
91435153427313
10420420041130
11152332175551
12695919a2ab6
133085105360b
14164c41889bc
15ae09486120
hex61e2fcb9aa

420420041130 has 128 divisors (see below), whose sum is σ = 1031508172800. Its totient is φ = 109641459200.

The previous prime is 420420041123. The next prime is 420420041161. The reversal of 420420041130 is 31140024024.

It is a junction number, because it is equal to n+sod(n) for n = 420420041097 and 420420041106.

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, 143047201 + ... + 143050139.

It is an arithmetic number, because the mean of its divisors is an integer number (8058657600).

Almost surely, 2420420041130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420420041130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515754086400).

420420041130 is an abundant number, since it is smaller than the sum of its proper divisors (611088131670).

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

420420041130 is a wasteful number, since it uses less digits than its factorization.

420420041130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3540.

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 420420041130 its reverse (31140024024), we get a palindrome (451560065154).

The spelling of 420420041130 in words is "four hundred twenty billion, four hundred twenty million, forty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 71 142 213 239 281 355 426 478 562 710 717 843 1065 1195 1405 1434 1686 2130 2390 2810 2939 3585 4215 5878 7170 8430 8817 14695 16969 17634 19951 29390 33938 39902 44085 50907 59853 67159 84845 88170 99755 101814 119706 134318 169690 199510 201477 208669 254535 299265 335795 402954 417338 509070 598530 626007 671590 702421 825859 1007385 1043345 1252014 1404842 1651718 2014770 2086690 2107263 2477577 3130035 3512105 4129295 4214526 4768289 4955154 6260070 7024210 8258590 9536578 10536315 12387885 14304867 21072630 23841445 24775770 28609734 47682890 49871891 58635989 71524335 99743782 117271978 143048670 149615673 175907967 197380301 249359455 293179945 299231346 351815934 394760602 498718910 586359890 592140903 748078365 879539835 986901505 1184281806 1496156730 1759079670 1973803010 2960704515 5921409030 14014001371 28028002742 42042004113 70070006855 84084008226 140140013710 210210020565 420420041130