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42488888440 = 235103181227251
BaseRepresentation
bin100111100100100010…
…001111110001111000
311001200010100011120211
4213210202033301320
51144004123412230
631304044200504
73032625410215
oct474442176170
9131603304524
1042488888440
1117023962839
128299539134
1340118c120b
1420b0d68b0c
15118a26a42a
hex9e488fc78

42488888440 has 128 divisors (see below), whose sum is σ = 97877445120. Its totient is φ = 16597440000.

The previous prime is 42488888413. The next prime is 42488888459. The reversal of 42488888440 is 4488888424.

42488888440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 169278315 + ... + 169278565.

It is an arithmetic number, because the mean of its divisors is an integer number (764667540).

Almost surely, 242488888440 is an apocalyptic number.

42488888440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42488888440 is an abundant number, since it is smaller than the sum of its proper divisors (55388556680).

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

42488888440 is a wasteful number, since it uses less digits than its factorization.

42488888440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 773 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 16777216, while the sum is 58.

The spelling of 42488888440 in words is "forty-two billion, four hundred eighty-eight million, eight hundred eighty-eight thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 103 181 206 227 251 362 412 454 502 515 724 824 905 908 1004 1030 1135 1255 1448 1810 1816 2008 2060 2270 2510 3620 4120 4540 5020 7240 9080 10040 18643 23381 25853 37286 41087 45431 46762 51706 56977 74572 82174 90862 93215 93524 103412 113954 116905 129265 149144 164348 181724 186430 187048 205435 206824 227155 227908 233810 258530 284885 328696 363448 372860 410870 454310 455816 467620 517060 569770 745720 821740 908620 935240 1034120 1139540 1643480 1817240 2279080 4231961 4679393 5868631 8463922 9358786 10312837 11737262 16927844 18717572 20625674 21159805 23396965 23474524 29343155 33855688 37435144 41251348 42319610 46793930 46949048 51564185 58686310 82502696 84639220 93587860 103128370 117372620 169278440 187175720 206256740 234745240 412513480 1062222211 2124444422 4248888844 5311111055 8497777688 10622222110 21244444220 42488888440