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420711388300 = 225272626313709
BaseRepresentation
bin1100001111101000101…
…10100101010010001100
31111012221002200220112101
412013310112211102030
523343104103411200
6521134441044444
742252422540200
oct6076426452214
91435832626471
10420711388300
11152471679a35
1269653486724
1330899511aa8
1416510b48b00
15ae24d3626a
hex61f45a548c

420711388300 has 108 divisors (see below), whose sum is σ = 1062242793360. Its totient is φ = 144210353280.

The previous prime is 420711388283. The next prime is 420711388309. The reversal of 420711388300 is 3883117024.

It is a self number, because there is not a number n which added to its sum of digits gives 420711388300.

It is not an unprimeable number, because it can be changed into a prime (420711388309) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 30681846 + ... + 30695554.

It is an arithmetic number, because the mean of its divisors is an integer number (9835581420).

Almost surely, 2420711388300 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 420711388300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531121396680).

420711388300 is an abundant number, since it is smaller than the sum of its proper divisors (641531405060).

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

420711388300 is a wasteful number, since it uses less digits than its factorization.

420711388300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20000 (or 19986 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 37.

The spelling of 420711388300 in words is "four hundred twenty billion, seven hundred eleven million, three hundred eighty-eight thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 350 490 700 980 1225 2450 4900 6263 12526 13709 25052 27418 31315 43841 54836 62630 68545 87682 95963 125260 137090 156575 175364 191926 219205 274180 306887 313150 342725 383852 438410 479815 613774 626300 671741 685450 876820 959630 1096025 1227548 1343482 1370900 1534435 1919260 2192050 2399075 2686964 3068870 3358705 4384100 4798150 6137740 6717410 7672175 9596300 13434820 15344350 16793525 30688700 33587050 67174100 85859467 171718934 343437868 429297335 601016269 858594670 1202032538 1717189340 2146486675 2404065076 3005081345 4207113883 4292973350 6010162690 8414227766 8585946700 12020325380 15025406725 16828455532 21035569415 30050813450 42071138830 60101626900 84142277660 105177847075 210355694150 420711388300