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13404370420 = 2257219237889
BaseRepresentation
bin11000111101111011…
…00111010111110100
31021121011200120101201
430132331213113310
5204423004323140
610054034102244
7653113161100
oct143675472764
937534616351
1013404370420
115759465991
12272111a984
1313580b363c
1491234a900
15536bca49a
hex31ef675f4

13404370420 has 108 divisors (see below), whose sum is σ = 34559999460. Its totient is φ = 4353785856.

The previous prime is 13404370417. The next prime is 13404370481. The reversal of 13404370420 is 2407340431.

It can be written as a sum of positive squares in 2 ways, for example, as 3874315536 + 9530054884 = 62244^2 + 97622^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 334836 + ... + 372724.

It is an arithmetic number, because the mean of its divisors is an integer number (319999995).

Almost surely, 213404370420 is an apocalyptic number.

13404370420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13404370420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17279999730).

13404370420 is an abundant number, since it is smaller than the sum of its proper divisors (21155629040).

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

13404370420 is a wasteful number, since it uses less digits than its factorization.

13404370420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37950 (or 37922 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 28.

The spelling of 13404370420 in words is "thirteen billion, four hundred four million, three hundred seventy thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 49 70 76 95 98 133 140 190 196 245 266 361 380 490 532 665 722 931 980 1330 1444 1805 1862 2527 2660 3610 3724 4655 5054 7220 9310 10108 12635 17689 18620 25270 35378 37889 50540 70756 75778 88445 151556 176890 189445 265223 353780 378890 530446 719891 757780 1060892 1326115 1439782 1856561 2652230 2879564 3599455 3713122 5039237 5304460 7198910 7426244 9282805 10078474 13677929 14397820 18565610 20156948 25196185 27355858 35274659 37131220 50392370 54711716 68389645 70549318 95745503 100784740 136779290 141098636 176373295 191491006 273558580 352746590 382982012 478727515 670218521 705493180 957455030 1340437042 1914910060 2680874084 3351092605 6702185210 13404370420