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40104023420520 = 23335137271046387
BaseRepresentation
bin10010001111001011100100…
…00100011110111001101000
312020222220111100100021221000
421013211302010132321220
520224031014443424040
6221143311203115000
711306264041402143
oct1107456204367150
9166886440307830
1040104023420520
11118620257905a4
1245b8518372a60
13194ba40808bb7
149c908ba2905a
154982e72a6130
hex24797211ee68

40104023420520 has 128 divisors (see below), whose sum is σ = 134655845558400. Its totient is φ = 10616344846848.

The previous prime is 40104023420509. The next prime is 40104023420533. The reversal of 40104023420520 is 2502432040104.

40104023420520 is a `hidden beast` number, since 4 + 0 + 1 + 0 + 402 + 34 + 205 + 20 = 666.

It is a super-3 number, since 3×401040234205203 (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 135375234 + ... + 135671153.

It is an arithmetic number, because the mean of its divisors is an integer number (1051998793425).

Almost surely, 240104023420520 is an apocalyptic number.

40104023420520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40104023420520 is an abundant number, since it is smaller than the sum of its proper divisors (94551822137880).

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

40104023420520 is a wasteful number, since it uses less digits than its factorization.

40104023420520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271046544 (or 271046534 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 40104023420520 its reverse (2502432040104), we get a palindrome (42606455460624).

The spelling of 40104023420520 in words is "forty trillion, one hundred four billion, twenty-three million, four hundred twenty thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 137 180 216 270 274 360 411 540 548 685 822 1080 1096 1233 1370 1644 2055 2466 2740 3288 3699 4110 4932 5480 6165 7398 8220 9864 12330 14796 16440 18495 24660 29592 36990 49320 73980 147960 271046387 542092774 813139161 1084185548 1355231935 1626278322 2168371096 2439417483 2710463870 3252556644 4065695805 4878834966 5420927740 6505113288 7318252449 8131391610 9757669932 10841855480 12197087415 14636504898 16262783220 19515339864 24394174830 29273009796 32525566440 36591262245 37133355019 48788349660 58546019592 73182524490 74266710038 97576699320 111400065057 146365048980 148533420076 185666775095 222800130114 292730097960 297066840152 334200195171 371333550190 445600260228 557000325285 668400390342 742667100380 891200520456 1002600585513 1114000650570 1336800780684 1485334200760 1671000975855 2005201171026 2228001301140 2673601561368 3342001951710 4010402342052 4456002602280 5013002927565 6684003903420 8020804684104 10026005855130 13368007806840 20052011710260 40104023420520