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40452236600226 = 231123371674312733
BaseRepresentation
bin10010011001010100001010…
…01100010110001110100010
312022020012021220212121122120
421030222011030112032202
520300232140032201401
6222011300112045110
711343402063524613
oct1114520514261642
9168205256777576
1040452236600226
1111986773a78360
124653ab8233796
1319758251503b9
149dbc82055c0a
154a23c7506836
hex24ca853163a2

40452236600226 has 128 divisors (see below), whose sum is σ = 95152298766336. Its totient is φ = 11340070030080.

The previous prime is 40452236600221. The next prime is 40452236600233. The reversal of 40452236600226 is 62200663225404.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (40452236600221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7223356 + ... + 11536088.

It is an arithmetic number, because the mean of its divisors is an integer number (743377334112).

Almost surely, 240452236600226 is an apocalyptic number.

40452236600226 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 40452236600226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47576149383168).

40452236600226 is an abundant number, since it is smaller than the sum of its proper divisors (54700062166110).

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

40452236600226 is a wasteful number, since it uses less digits than its factorization.

40452236600226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4312976.

The product of its (nonzero) digits is 829440, while the sum is 42.

The spelling of 40452236600226 in words is "forty trillion, four hundred fifty-two billion, two hundred thirty-six million, six hundred thousand, two hundred twenty-six".

Divisors: 1 2 3 6 11 22 23 33 37 46 66 69 74 111 138 167 222 253 334 407 501 506 759 814 851 1002 1221 1518 1702 1837 2442 2553 3674 3841 5106 5511 6179 7682 9361 11022 11523 12358 18537 18722 23046 28083 37074 42251 56166 67969 84502 126753 135938 142117 203907 253506 284234 407814 426351 852702 1563287 3126574 4312733 4689861 8625466 9379722 12938199 25876398 47440063 94880126 99192859 142320189 159571121 198385718 284640378 297578577 319142242 478713363 595157154 720226411 957426726 1091121449 1440452822 1755282331 2160679233 2182242898 3273364347 3510564662 3670135783 4321358466 5265846993 6546728694 7340271566 7922490521 10531693986 11010407349 15844981042 16565207453 22020814698 23767471563 26648377207 33130414906 40371493613 47534943126 49695622359 53296754414 79945131621 80742987226 99391244718 121114480839 159890263242 182217281983 242228961678 293132149277 364434563966 546651845949 586264298554 612912675761 879396447831 1093303691898 1225825351522 1758792895662 1838738027283 3677476054566 6742039433371 13484078866742 20226118300113 40452236600226