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1003455402404 = 2271361101447451
BaseRepresentation
bin11101001101000101001…
…10100101000110100100
310112221002112101001110212
432212202212211012210
5112420034040334104
62044551523434552
7132332363121350
oct16464246450644
93487075331425
101003455402404
11357621461964
12142587225a58
137381911ba50
14367d3316460
151b17ecb436e
hexe9a29a51a4

1003455402404 has 96 divisors (see below), whose sum is σ = 2218474175232. Its totient is φ = 386596800000.

The previous prime is 1003455402373. The next prime is 1003455402413. The reversal of 1003455402404 is 4042045543001.

It is a super-2 number, since 2×10034554024042 (a number of 25 digits) contains 22 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, 2018879 + ... + 2466329.

It is an arithmetic number, because the mean of its divisors is an integer number (23109105992).

Almost surely, 21003455402404 is an apocalyptic number.

1003455402404 is a gapful number since it is divisible by the number (14) 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 1003455402404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1109237087616).

1003455402404 is an abundant number, since it is smaller than the sum of its proper divisors (1215018772828).

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

1003455402404 is a wasteful number, since it uses less digits than its factorization.

1003455402404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447637 (or 447635 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 32.

The spelling of 1003455402404 in words is "one trillion, three billion, four hundred fifty-five million, four hundred two thousand, four hundred four".

Divisors: 1 2 4 7 13 14 26 28 52 61 91 101 122 182 202 244 364 404 427 707 793 854 1313 1414 1586 1708 2626 2828 3172 5252 5551 6161 9191 11102 12322 18382 22204 24644 36764 43127 80093 86254 160186 172508 320372 447451 560651 894902 1121302 1789804 2242604 3132157 5816863 6264314 11633726 12528628 23267452 27294511 40718041 45192551 54589022 81436082 90385102 109178044 162872164 180770204 191061577 316347857 354828643 382123154 587503163 632695714 709657286 764246308 1175006326 1265391428 1419314572 2350012652 2483800501 2756745611 4112522141 4967601002 5513491222 8225044282 9935202004 11026982444 16450088564 19297219277 35837692943 38594438554 71675385886 77188877108 143350771772 250863850601 501727701202 1003455402404