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10234425242000 = 245379711715483
BaseRepresentation
bin1001010011101110001101…
…0001111111000110010000
31100020101211200200102111202
42110323203101333012100
52320140100330221000
633433344031330332
72104261412126321
oct224734321770620
940211750612452
1010234425242000
113296439269043
1211936003809a8
1359314359cb7b
142754c5264448
1512b34a763dd5
hex94ee347f190

10234425242000 has 160 divisors (see below), whose sum is σ = 24803572719744. Its totient is φ = 4084396992000.

The previous prime is 10234425241979. The next prime is 10234425242003. The reversal of 10234425242000 is 24252443201.

10234425242000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×102344252420003 (a number of 40 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (10234425242003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1866571259 + ... + 1866576741.

Almost surely, 210234425242000 is an apocalyptic number.

10234425242000 is a gapful number since it is divisible by the number (10) 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 10234425242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12401786359872).

10234425242000 is an abundant number, since it is smaller than the sum of its proper divisors (14569147477744).

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

10234425242000 is a wasteful number, since it uses less digits than its factorization.

10234425242000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7474 (or 7458 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 29.

Adding to 10234425242000 its reverse (24252443201), we get a palindrome (10258677685201).

The spelling of 10234425242000 in words is "ten trillion, two hundred thirty-four billion, four hundred twenty-five million, two hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 797 1000 1171 1594 2000 2342 3188 3985 4684 5483 5855 6376 7970 9368 10966 11710 12752 15940 18736 19925 21932 23420 27415 29275 31880 39850 43864 46840 54830 58550 63760 79700 87728 93680 99625 109660 117100 137075 146375 159400 199250 219320 234200 274150 292750 318800 398500 438640 468400 548300 585500 685375 797000 933287 1096600 1171000 1370750 1594000 1866574 2193200 2342000 2741500 3733148 4369951 4666435 5483000 6420593 7466296 8739902 9332870 10966000 12841186 14932592 17479804 18665740 21849755 23332175 25682372 32102965 34959608 37331480 43699510 46664350 51364744 64205930 69919216 74662960 87399020 93328700 102729488 109248775 116660875 128411860 160514825 174798040 186657400 218497550 233321750 256823720 321029650 349596080 373314800 436995100 466643500 513647440 546243875 642059300 802574125 873990200 933287000 1092487750 1284118600 1605148250 1747980400 1866574000 2184975500 2568237200 3210296500 4369951000 5117212621 6420593000 8739902000 10234425242 12841186000 20468850484 25586063105 40937700968 51172126210 81875401936 102344252420 127930315525 204688504840 255860631050 409377009680 511721262100 639651577625 1023442524200 1279303155250 2046885048400 2558606310500 5117212621000 10234425242000