Search a number
-
+
442742673100 = 225271348653041
BaseRepresentation
bin1100111000101011000…
…01010000111011001100
31120022210111110010200111
412130111201100323030
524223214111014400
6535220532005404
743662401425210
oct6342541207314
91508714403614
10442742673100
11160847773322
1271981760864
133299a9987a0
1417600b10940
15b7b40943ba
hex6715850ecc

442742673100 has 72 divisors (see below), whose sum is σ = 1182463532768. Its totient is φ = 140120755200.

The previous prime is 442742673091. The next prime is 442742673157. The reversal of 442742673100 is 1376247244.

It is a super-2 number, since 2×4427426731002 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24317421 + ... + 24335620.

Almost surely, 2442742673100 is an apocalyptic number.

It is an amenable number.

442742673100 is an abundant number, since it is smaller than the sum of its proper divisors (739720859668).

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

442742673100 is a wasteful number, since it uses less digits than its factorization.

442742673100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48653075 (or 48653068 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 40.

The spelling of 442742673100 in words is "four hundred forty-two billion, seven hundred forty-two million, six hundred seventy-three thousand, one hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 50 52 65 70 91 100 130 140 175 182 260 325 350 364 455 650 700 910 1300 1820 2275 4550 9100 48653041 97306082 194612164 243265205 340571287 486530410 632489533 681142574 973060820 1216326025 1264979066 1362285148 1702856435 2432652050 2529958132 3162447665 3405712870 4427426731 4865304100 6324895330 6811425740 8514282175 8854853462 12649790660 15812238325 17028564350 17709706924 22137133655 31624476650 34057128700 44274267310 63248953300 88548534620 110685668275 221371336550 442742673100