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42000226474600 = 23522213398923789
BaseRepresentation
bin10011000110010111100001…
…00101000101101001101000
312111201011220222220222000201
421203023300211011221220
521001112430434141400
6225154345423241544
711563262523412432
oct1143136045055150
9174634828828021
1042000226474600
11124232179a0649
124863b12a492b4
131a587b1a25574
14a52b7107d652
154cc7c7a3306a
hex2632f0945a68

42000226474600 has 96 divisors (see below), whose sum is σ = 97723251171000. Its totient is φ = 16787583626240.

The previous prime is 42000226474499. The next prime is 42000226474621. The reversal of 42000226474600 is 647462200024.

It can be written as a sum of positive squares in 12 ways, for example, as 6709664451204 + 35290562023396 = 2590302^2 + 5940586^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 42000226474600.

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, 1765519506 + ... + 1765543294.

Almost surely, 242000226474600 is an apocalyptic number.

42000226474600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42000226474600 is an abundant number, since it is smaller than the sum of its proper divisors (55723024696400).

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

42000226474600 is a wasteful number, since it uses less digits than its factorization.

42000226474600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30007 (or 29998 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 37.

Adding to 42000226474600 its reverse (647462200024), we get a palindrome (42647688674624).

The spelling of 42000226474600 in words is "forty-two trillion, two hundred twenty-six million, four hundred seventy-four thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 2213 3989 4426 7978 8852 11065 15956 17704 19945 22130 23789 31912 39890 44260 47578 55325 79780 88520 95156 99725 110650 118945 159560 190312 199450 221300 237890 398900 442600 475780 594725 797800 951560 1189450 2378900 4757800 8827657 17655314 35310628 44138285 52645057 70621256 88276570 94894321 105290114 176553140 189788642 210580228 220691425 263225285 353106280 379577284 421160456 441382850 474471605 526450570 759154568 882765700 948943210 1052901140 1316126425 1765531400 1897886420 2105802280 2372358025 2632252850 3795772840 4744716050 5264505700 9489432100 10529011400 18978864200 210001132373 420002264746 840004529492 1050005661865 1680009058984 2100011323730 4200022647460 5250028309325 8400045294920 10500056618650 21000113237300 42000226474600