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41534226100 = 225219711512039
BaseRepresentation
bin100110101011101000…
…011111111010110100
310222012120222022001101
4212223220133322310
51140030230213400
631025222335444
73000154045123
oct465350377264
9128176868041
1041534226100
1116683a958a4
12807188a584
133bbbb99263
14202025daba
15113154256a
hex9aba1feb4

41534226100 has 144 divisors (see below), whose sum is σ = 96893798400. Its totient is φ = 15407280000.

The previous prime is 41534226077. The next prime is 41534226109. The reversal of 41534226100 is 162243514.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41534226109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20368881 + ... + 20370919.

It is an arithmetic number, because the mean of its divisors is an integer number (672873600).

Almost surely, 241534226100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41534226100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48446899200).

41534226100 is an abundant number, since it is smaller than the sum of its proper divisors (55359572300).

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

41534226100 is a wasteful number, since it uses less digits than its factorization.

41534226100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2294 (or 2287 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

Adding to 41534226100 its reverse (162243514), we get a palindrome (41696469614).

The spelling of 41534226100 in words is "forty-one billion, five hundred thirty-four million, two hundred twenty-six thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 71 76 95 100 142 151 190 284 302 355 380 475 604 710 755 950 1349 1420 1510 1775 1900 2039 2698 2869 3020 3550 3775 4078 5396 5738 6745 7100 7550 8156 10195 10721 11476 13490 14345 15100 20390 21442 26980 28690 33725 38741 40780 42884 50975 53605 57380 67450 71725 77482 101950 107210 134900 143450 144769 154964 193705 203699 203900 214420 268025 286900 289538 307889 387410 407398 536050 579076 615778 723845 774820 814796 968525 1018495 1072100 1231556 1447690 1539445 1937050 2036990 2750611 2895380 3078890 3619225 3874100 4073980 5092475 5501222 5849891 6157780 7238450 7697225 10184950 11002444 11699782 13753055 14476900 15394450 20369900 21860119 23399564 27506110 29249455 30788900 43720238 55012220 58498910 68765275 87440476 109300595 116997820 137530550 146247275 218601190 275061100 292494550 415342261 437202380 546502975 584989100 830684522 1093005950 1661369044 2076711305 2186011900 4153422610 8306845220 10383556525 20767113050 41534226100