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10245420351240 = 2335241929381343
BaseRepresentation
bin1001010100010111001010…
…1000111111111100001000
31100021110012221220211212220
42111011302220333330020
52320330110102214430
633442403042534040
72105131032042354
oct225056250777410
940243187824786
1010245420351240
1132a0070766388
12119576a667320
135941a64a4379
14275c49620464
1512b790b89110
hex95172a3ff08

10245420351240 has 128 divisors (see below), whose sum is σ = 30897101030400. Its totient is φ = 2717839687680.

The previous prime is 10245420351211. The next prime is 10245420351263. The reversal of 10245420351240 is 4215302454201.

10245420351240 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 3×102454203512403 (a number of 40 digits) contains 333 as substring.

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, 26676009 + ... + 27057351.

It is an arithmetic number, because the mean of its divisors is an integer number (241383601800).

Almost surely, 210245420351240 is an apocalyptic number.

10245420351240 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 10245420351240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15448550515200).

10245420351240 is an abundant number, since it is smaller than the sum of its proper divisors (20651680679160).

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

10245420351240 is a wasteful number, since it uses less digits than its factorization.

10245420351240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382527 (or 382523 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 33.

The spelling of 10245420351240 in words is "ten trillion, two hundred forty-five billion, four hundred twenty million, three hundred fifty-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 241 482 723 929 964 1205 1446 1858 1928 2410 2787 2892 3615 3716 4645 4820 5574 5784 7230 7432 9290 9640 11148 13935 14460 18580 22296 27870 28920 37160 55740 111480 223889 381343 447778 671667 762686 895556 1119445 1144029 1343334 1525372 1791112 1906715 2238890 2288058 2686668 3050744 3358335 3813430 4477780 4576116 5373336 5720145 6716670 7626860 8955560 9152232 11440290 13433340 15253720 22880580 26866680 45761160 91903663 183807326 275710989 354267647 367614652 459518315 551421978 708535294 735229304 919036630 1062802941 1102843956 1378554945 1417070588 1771338235 1838073260 2125605882 2205687912 2757109890 2834141176 3542676470 3676146520 4251211764 5314014705 5514219780 7085352940 8502423528 10628029410 11028439560 14170705880 21256058820 42512117640 85378502927 170757005854 256135508781 341514011708 426892514635 512271017562 683028023416 853785029270 1024542035124 1280677543905 1707570058540 2049084070248 2561355087810 3415140117080 5122710175620 10245420351240