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10240004325040 = 2457115849157841
BaseRepresentation
bin1001010100000010111111…
…0100011111111010110000
31100020221020111201012122221
42111000233310133322300
52320233012101400130
633440105410410424
72104546565424460
oct225005764377260
940227214635587
1010240004325040
113298841537776
1211946b8890a14
135938223b2739
142758941c5ba0
1512b57545587a
hex9502fd1feb0

10240004325040 has 80 divisors (see below), whose sum is σ = 27209561601600. Its totient is φ = 3510806077440.

The previous prime is 10240004325011. The next prime is 10240004325049. The reversal of 10240004325040 is 4052340004201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 10240004324996 and 10240004325014.

It is not an unprimeable number, because it can be changed into a prime (10240004325049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64796520 + ... + 64954360.

It is an arithmetic number, because the mean of its divisors is an integer number (340119520020).

Almost surely, 210240004325040 is an apocalyptic number.

10240004325040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10240004325040 is an abundant number, since it is smaller than the sum of its proper divisors (16969557276560).

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

10240004325040 is a wasteful number, since it uses less digits than its factorization.

10240004325040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273710 (or 273704 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 10240004325040 its reverse (4052340004201), we get a palindrome (14292344329241).

The spelling of 10240004325040 in words is "ten trillion, two hundred forty billion, four million, three hundred twenty-five thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 115849 157841 231698 315682 463396 579245 631364 789205 810943 926792 1104887 1158490 1262728 1578410 1621886 1853584 2209774 2316980 2525456 3156820 3243772 4054715 4419548 4633960 5524435 6313640 6487544 8109430 8839096 9267920 11048870 12627280 12975088 16218860 17678192 22097740 32437720 44195480 64875440 88390960 18285722009 36571444018 73142888036 91428610045 128000054063 146285776072 182857220090 256000108126 292571552144 365714440180 512000216252 640000270315 731428880360 1024000432504 1280000540630 1462857760720 2048000865008 2560001081260 5120002162520 10240004325040