Search a number
-
+
42406244440 = 2357247460337
BaseRepresentation
bin100111011111100110…
…111111000001011000
311001110100211102022221
4213133212333001120
51143321444310230
631251532553424
73030603062500
oct473746770130
9131410742287
1042406244440
1116a9124610a
128275922874
133cca746541
1420a3db4a00
151182d9327a
hex9df9bf058

42406244440 has 96 divisors (see below), whose sum is σ = 113353629120. Its totient is φ = 14229906432.

The previous prime is 42406244437. The next prime is 42406244443. The reversal of 42406244440 is 4444260424.

It is an interprime number because it is at equal distance from previous prime (42406244437) and next prime (42406244443).

It is a junction number, because it is equal to n+sod(n) for n = 42406244396 and 42406244405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42406244443) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 138049 + ... + 322288.

It is an arithmetic number, because the mean of its divisors is an integer number (1180766970).

Almost surely, 242406244440 is an apocalyptic number.

42406244440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42406244440 is an abundant number, since it is smaller than the sum of its proper divisors (70947384680).

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

42406244440 is a wasteful number, since it uses less digits than its factorization.

42406244440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460409 (or 460398 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 34.

The spelling of 42406244440 in words is "forty-two billion, four hundred six million, two hundred forty-four thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 47 49 56 70 94 98 140 188 196 235 245 280 329 376 392 470 490 658 940 980 1316 1645 1880 1960 2303 2632 3290 4606 6580 9212 11515 13160 18424 23030 46060 92120 460337 920674 1841348 2301685 3222359 3682696 4603370 6444718 9206740 12889436 16111795 18413480 21635839 22556513 25778872 32223590 43271678 45113026 64447180 86543356 90226052 108179195 112782565 128894360 151450873 173086712 180452104 216358390 225565130 302901746 432716780 451130260 605803492 757254365 865433560 902260520 1060156111 1211606984 1514508730 2120312222 3029017460 4240624444 5300780555 6058034920 8481248888 10601561110 21203122220 42406244440