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420430311140 = 225753127744371
BaseRepresentation
bin1100001111000111001…
…10010110111011100100
31111012012111210201011012
412013203212112323210
523342020124424030
6521050520401352
742242440452230
oct6074346267344
91435174721135
10420430311140
11152337a4a564
1269595316258
133085320b048
14164c569d5c0
15ae0a314095
hex61e3996ee4

420430311140 has 96 divisors (see below), whose sum is σ = 1028899355904. Its totient is φ = 141313835520.

The previous prime is 420430311137. The next prime is 420430311149. The reversal of 420430311140 is 41113034024.

It is not an unprimeable number, because it can be changed into a prime (420430311149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9453155 + ... + 9497525.

It is an arithmetic number, because the mean of its divisors is an integer number (10717701624).

Almost surely, 2420430311140 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 420430311140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514449677952).

420430311140 is an abundant number, since it is smaller than the sum of its proper divisors (608469044764).

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

420430311140 is a wasteful number, since it uses less digits than its factorization.

420430311140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45717 (or 45715 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 420430311140 its reverse (41113034024), we get a palindrome (461543345164).

The spelling of 420430311140 in words is "four hundred twenty billion, four hundred thirty million, three hundred eleven thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 53 70 106 140 212 265 371 530 742 1060 1277 1484 1855 2554 3710 5108 6385 7420 8939 12770 17878 25540 35756 44371 44695 67681 88742 89390 135362 177484 178780 221855 270724 310597 338405 443710 473767 621194 676810 887420 947534 1242388 1353620 1552985 1895068 2351663 2368835 3105970 4703326 4737670 6211940 9406652 9475340 11758315 16461641 23516630 32923282 47033260 56661767 65846564 82308205 113323534 164616410 226647068 283308835 329232820 396632369 566617670 793264738 1133235340 1586529476 1983161845 3003073651 3966323690 6006147302 7932647380 12012294604 15015368255 21021515557 30030736510 42043031114 60061473020 84086062228 105107577785 210215155570 420430311140