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40204350024240 = 2435734874712051
BaseRepresentation
bin10010010010000110011100…
…00000000110101000110000
312021100111110021112211020210
421021003032000012220300
520232202002101233430
6221301342354304120
711316445162432113
oct1111031600065060
9167314407484223
1040204350024240
11118a0629510926
124613a57588040
13195833bb9c57c
149cdc881c657a
1549ac1a0072b0
hex2490ce006a30

40204350024240 has 160 divisors (see below), whose sum is σ = 126600246637056. Its totient is φ = 10552579430400.

The previous prime is 40204350024191. The next prime is 40204350024283. The reversal of 40204350024240 is 4242005340204.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 40204350024198 and 40204350024207.

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, 6176215 + ... + 10888265.

Almost surely, 240204350024240 is an apocalyptic number.

40204350024240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40204350024240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63300123318528).

40204350024240 is an abundant number, since it is smaller than the sum of its proper divisors (86395896612816).

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

40204350024240 is a wasteful number, since it uses less digits than its factorization.

40204350024240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4712627 (or 4712621 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 30.

Adding to 40204350024240 its reverse (4242005340204), we get a palindrome (44446355364444).

The spelling of 40204350024240 in words is "forty trillion, two hundred four billion, three hundred fifty million, twenty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 73 80 120 146 219 240 292 365 438 487 584 730 876 974 1095 1168 1460 1461 1752 1948 2190 2435 2920 2922 3504 3896 4380 4870 5840 5844 7305 7792 8760 9740 11688 14610 17520 19480 23376 29220 35551 38960 58440 71102 106653 116880 142204 177755 213306 284408 355510 426612 533265 568816 711020 853224 1066530 1422040 1706448 2133060 2844080 4266120 4712051 8532240 9424102 14136153 18848204 23560255 28272306 37696408 47120510 56544612 70680765 75392816 94241020 113089224 141361530 188482040 226178448 282723060 343979723 376964080 565446120 687959446 1031939169 1130892240 1375918892 1719898615 2063878338 2294768837 2751837784 3439797230 4127756676 4589537674 5159695845 5503675568 6879594460 6884306511 8255513352 9179075348 10319391690 11473844185 13759188920 13768613022 16511026704 18358150696 20638783380 22947688370 27518377840 27537226044 34421532555 36716301392 41277566760 45895376740 55074452088 68843065110 82555133520 91790753480 110148904176 137686130220 167518125101 183581506960 275372260440 335036250202 502554375303 550744520880 670072500404 837590625505 1005108750606 1340145000808 1675181251010 2010217501212 2512771876515 2680290001616 3350362502020 4020435002424 5025543753030 6700725004040 8040870004848 10051087506060 13401450008080 20102175012120 40204350024240