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40042606100 = 22527296919267
BaseRepresentation
bin100101010010101110…
…011010111000010100
310211100122020011002012
4211102232122320110
51124001401343400
630221220003352
72615202351560
oct452256327024
9124318204065
1040042606100
1115a890096a2
127916230558
133a11b4c383
141d1c0dc6a0
151095600d35
hex952b9ae14

40042606100 has 72 divisors (see below), whose sum is σ = 99344266560. Its totient is φ = 13723557120.

The previous prime is 40042606061. The next prime is 40042606103. The reversal of 40042606100 is 160624004.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40042606103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2068667 + ... + 2087933.

It is an arithmetic number, because the mean of its divisors is an integer number (1379781480).

Almost surely, 240042606100 is an apocalyptic number.

It is an amenable number.

40042606100 is an abundant number, since it is smaller than the sum of its proper divisors (59301660460).

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

40042606100 is a wasteful number, since it uses less digits than its factorization.

40042606100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22257 (or 22250 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The spelling of 40042606100 in words is "forty billion, forty-two million, six hundred six thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 2969 5938 11876 14845 19267 20783 29690 38534 41566 59380 74225 77068 83132 96335 103915 134869 148450 192670 207830 269738 296900 385340 415660 481675 519575 539476 674345 963350 1039150 1348690 1926700 2078300 2697380 3371725 6743450 13486900 57203723 114407446 228814892 286018615 400426061 572037230 800852122 1144074460 1430093075 1601704244 2002130305 2860186150 4004260610 5720372300 8008521220 10010651525 20021303050 40042606100