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10240343020440 = 2333513729369161
BaseRepresentation
bin1001010100000100010000…
…0000100001001110011000
31100020222010010000201102000
42111001010000201032120
52320234210303123230
633440203150041000
72104561150326561
oct225010400411630
940228103021360
1010240343020440
1132989a5740625
1211947921a9160
1359387760b310
142758c718d168
1512b595059b60
hex95044021398

10240343020440 has 128 divisors (see below), whose sum is σ = 36760205764800. Its totient is φ = 2520699816960.

The previous prime is 10240343020387. The next prime is 10240343020493. The reversal of 10240343020440 is 4402034304201.

It is a happy number.

10240343020440 is a `hidden beast` number, since 1 + 0 + 24 + 0 + 3 + 430 + 204 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10240343020387) and next prime (10240343020493).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 364670541 + ... + 364698620.

Almost surely, 210240343020440 is an apocalyptic number.

10240343020440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10240343020440 is an abundant number, since it is smaller than the sum of its proper divisors (26519862744360).

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

10240343020440 is a wasteful number, since it uses less digits than its factorization.

10240343020440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729369194 (or 729369184 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 10240343020440 its reverse (4402034304201), we get a palindrome (14642377324641).

The spelling of 10240343020440 in words is "ten trillion, two hundred forty billion, three hundred forty-three million, twenty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 27 30 36 39 40 45 52 54 60 65 72 78 90 104 108 117 120 130 135 156 180 195 216 234 260 270 312 351 360 390 468 520 540 585 702 780 936 1080 1170 1404 1560 1755 2340 2808 3510 4680 7020 14040 729369161 1458738322 2188107483 2917476644 3646845805 4376214966 5834953288 6564322449 7293691610 8752429932 9481799093 10940537415 13128644898 14587383220 17504859864 18963598186 19692967347 21881074830 26257289796 28445397279 29174766440 32821612245 37927196372 39385934694 43762149660 47408995465 52514579592 56890794558 65643224490 75854392744 78771869388 85336191837 87524299320 94817990930 98464836735 113781589116 131286448980 142226986395 157543738776 170672383674 189635981860 196929673470 227563178232 256008575511 262572897960 284453972790 341344767348 379271963720 393859346940 426680959185 512017151022 568907945580 682689534696 787718693880 853361918370 1024034302044 1137815891160 1280042877555 1706723836740 2048068604088 2560085755110 3413447673480 5120171510220 10240343020440