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420100333140 = 223553254951827
BaseRepresentation
bin1100001110011111110…
…11100101111001010100
31111011100111220002102210
412013033323211321110
523340331141130030
6520554052033420
742231322625235
oct6071773457124
91434314802383
10420100333140
11152188760174
1269502902870
13307cca452a7
141649392508c
15addb382bb0
hex61cfee5e54

420100333140 has 96 divisors (see below), whose sum is σ = 1198968220800. Its totient is φ = 109867803136.

The previous prime is 420100333097. The next prime is 420100333187. The reversal of 420100333140 is 41333001024.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8079907 + ... + 8131733.

It is an arithmetic number, because the mean of its divisors is an integer number (12489252300).

Almost surely, 2420100333140 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 420100333140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599484110400).

420100333140 is an abundant number, since it is smaller than the sum of its proper divisors (778867887660).

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

420100333140 is a wasteful number, since it uses less digits than its factorization.

420100333140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54441 (or 54439 counting only the distinct ones).

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

Adding to 420100333140 its reverse (41333001024), we get a palindrome (461433334164).

The spelling of 420100333140 in words is "four hundred twenty billion, one hundred million, three hundred thirty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 53 60 106 159 212 265 318 530 636 795 1060 1590 2549 3180 5098 7647 10196 12745 15294 25490 30588 38235 50980 51827 76470 103654 135097 152940 155481 207308 259135 270194 310962 405291 518270 540388 621924 675485 777405 810582 1036540 1350970 1554810 1621164 2026455 2701940 2746831 3109620 4052910 5493662 8105820 8240493 10987324 13734155 16480986 27468310 32961972 41202465 54936620 82404930 132107023 164809860 264214046 396321069 528428092 660535115 792642138 1321070230 1585284276 1981605345 2642140460 3963210690 7001672219 7926421380 14003344438 21005016657 28006688876 35008361095 42010033314 70016722190 84020066628 105025083285 140033444380 210050166570 420100333140