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1034401203312 = 243315771204787
BaseRepresentation
bin11110000110101110001…
…11011100010001110000
310122212222012100121210020
433003113013130101300
5113421423202001222
62111110343403440
7134506266104301
oct17032707342160
93585865317706
101034401203312
11369761570134
12148582a53580
137670b425549
14380cb2007a8
151bd9196565c
hexf0d71dc470

1034401203312 has 80 divisors (see below), whose sum is σ = 2763186097152. Its totient is φ = 333099233280.

The previous prime is 1034401203239. The next prime is 1034401203313. The reversal of 1034401203312 is 2133021044301.

It is a happy number.

1034401203312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1034401203313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 256183 + ... + 1460969.

Almost surely, 21034401203312 is an apocalyptic number.

1034401203312 is a gapful number since it is divisible by the number (12) 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 1034401203312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1381593048576).

1034401203312 is an abundant number, since it is smaller than the sum of its proper divisors (1728784893840).

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

1034401203312 is a wasteful number, since it uses less digits than its factorization.

1034401203312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1205406 (or 1205400 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 1034401203312 its reverse (2133021044301), we get a palindrome (3167422247613).

The spelling of 1034401203312 in words is "one trillion, thirty-four billion, four hundred one million, two hundred three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 372 496 577 744 1154 1488 1731 2308 3462 4616 6924 9232 13848 17887 27696 35774 53661 71548 107322 143096 214644 286192 429288 858576 1204787 2409574 3614361 4819148 7228722 9638296 14457444 19276592 28914888 37348397 57829776 74696794 112045191 149393588 224090382 298787176 448180764 597574352 695162099 896361528 1390324198 1792723056 2085486297 2780648396 4170972594 5561296792 8341945188 11122593584 16683890376 21550025069 33367780752 43100050138 64650075207 86200100276 129300150414 172400200552 258600300828 344800401104 517200601656 1034401203312