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1003114313404 = 22747243936943
BaseRepresentation
bin11101001100011100100…
…01011011011010111100
310112220012202112221022221
432212032101123122330
5112413334231012104
62044454021015124
7132321051656650
oct16461621333274
93486182487287
101003114313404
11357466973725
121424b0b544a4
1373793565838
143679dcc8a60
151b15ed8ac54
hexe98e45b6bc

1003114313404 has 72 divisors (see below), whose sum is σ = 2054547461120. Its totient is φ = 419789382624.

The previous prime is 1003114313393. The next prime is 1003114313413. The reversal of 1003114313404 is 4043134113001.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27134557 + ... + 27171499.

Almost surely, 21003114313404 is an apocalyptic number.

1003114313404 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 1003114313404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1027273730560).

1003114313404 is an abundant number, since it is smaller than the sum of its proper divisors (1051433147716).

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

1003114313404 is a wasteful number, since it uses less digits than its factorization.

1003114313404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37487 (or 37438 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 1003114313404 its reverse (4043134113001), we get a palindrome (5046248426405).

The spelling of 1003114313404 in words is "one trillion, three billion, one hundred fourteen million, three hundred thirteen thousand, four hundred four".

Divisors: 1 2 4 7 14 28 47 94 188 329 439 658 878 1316 1756 2209 3073 4418 6146 8836 12292 15463 20633 30926 36943 41266 61852 73886 82532 144431 147772 258601 288862 517202 577724 969751 1034404 1736321 1939502 3472642 3879004 6788257 6945284 12154247 13576514 16217977 24308494 27153028 32435954 48616988 64871908 81607087 113525839 163214174 227051678 326428348 454103356 571249609 762244919 1142499218 1524489838 2284998436 3048979676 5335714433 10671428866 21342857732 35825511193 71651022386 143302044772 250778578351 501557156702 1003114313404