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420004177740 = 2232571069311821
BaseRepresentation
bin1100001110010100011…
…00110010011101001100
31111011002210221220000200
412013022030302131030
523340132032141430
6520540335053500
742226044414630
oct6071214623514
91434083856020
10420004177740
111521394551a4
1269496671290
13307b5b496c4
1416484c54dc0
15add2bdc460
hex61ca33274c

420004177740 has 144 divisors (see below), whose sum is σ = 1457381190720. Its totient is φ = 95910842880.

The previous prime is 420004177727. The next prime is 420004177763. The reversal of 420004177740 is 47771400024.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 420004177695 and 420004177704.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1191030 + ... + 1502850.

Almost surely, 2420004177740 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 420004177740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728690595360).

420004177740 is an abundant number, since it is smaller than the sum of its proper divisors (1037377012980).

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

420004177740 is a wasteful number, since it uses less digits than its factorization.

420004177740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312912 (or 312907 counting only the distinct ones).

The product of its (nonzero) digits is 43904, while the sum is 36.

Adding to 420004177740 its reverse (47771400024), we get a palindrome (467775577764).

The spelling of 420004177740 in words is "four hundred twenty billion, four million, one hundred seventy-seven thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1069 1260 2138 3207 4276 5345 6414 7483 9621 10690 12828 14966 16035 19242 21380 22449 29932 32070 37415 38484 44898 48105 64140 67347 74830 89796 96210 112245 134694 149660 192420 224490 269388 311821 336735 448980 623642 673470 935463 1247284 1346940 1559105 1870926 2182747 2806389 3118210 3741852 4365494 4677315 5612778 6236420 6548241 8730988 9354630 10913735 11225556 13096482 14031945 18709260 19644723 21827470 26192964 28063890 32741205 39289446 43654940 56127780 65482410 78578892 98223615 130964820 196447230 333336649 392894460 666673298 1000009947 1333346596 1666683245 2000019894 2333356543 3000029841 3333366490 4000039788 4666713086 5000049735 6000059682 6666732980 7000069629 9333426172 10000099470 11666782715 12000119364 14000139258 15000149205 20000198940 21000208887 23333565430 28000278516 30000298410 35000348145 42000417774 46667130860 60000596820 70000696290 84000835548 105001044435 140001392580 210002088870 420004177740