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1004143113204 = 2237211413786533
BaseRepresentation
bin11101001110010111001…
…01111111001111110100
310112222212110102101100020
432213023211333033310
5112422441114110304
62045144051445140
7132355413430200
oct16471345771764
93488773371306
101004143113204
113579446781a0
121427395b67b0
13738c874760a
143685a7b1b00
151b1c035a5d9
hexe9cb97f3f4

1004143113204 has 144 divisors (see below), whose sum is σ = 3045827365056. Its totient is φ = 254454950400.

The previous prime is 1004143113131. The next prime is 1004143113217. The reversal of 1004143113204 is 4023113414001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1628079 + ... + 2158454.

It is an arithmetic number, because the mean of its divisors is an integer number (21151578924).

Almost surely, 21004143113204 is an apocalyptic number.

1004143113204 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1004143113204 is an abundant number, since it is smaller than the sum of its proper divisors (2041684251852).

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

1004143113204 is a wasteful number, since it uses less digits than its factorization.

1004143113204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3786606 (or 3786597 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 1004143113204 its reverse (4023113414001), we get a palindrome (5027256527205).

The spelling of 1004143113204 in words is "one trillion, four billion, one hundred forty-three million, one hundred thirteen thousand, two hundred four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 41 42 44 49 66 77 82 84 98 123 132 147 154 164 196 231 246 287 294 308 451 462 492 539 574 588 861 902 924 1078 1148 1353 1617 1722 1804 2009 2156 2706 3157 3234 3444 4018 5412 6027 6314 6468 8036 9471 12054 12628 18942 22099 24108 37884 44198 66297 88396 132594 265188 3786533 7573066 11359599 15146132 22719198 26505731 41651863 45438396 53011462 79517193 83303726 106022924 124955589 155247853 159034386 166607452 185540117 249911178 291563041 310495706 318068772 371080234 465743559 499822356 556620351 583126082 620991412 742160468 874689123 931487118 1086734971 1113240702 1166252164 1707726383 1749378246 1862974236 2040941287 2173469942 2226481404 3260204913 3415452766 3498756492 4081882574 4346939884 5123179149 6122823861 6520409826 6830905532 7607144797 8163765148 10246358298 11954084681 12245647722 13040819652 15214289594 20492716596 22821434391 23908169362 24491295444 30428579188 35862254043 45642868782 47816338724 71724508086 83678592767 91285737564 143449016172 167357185534 251035778301 334714371068 502071556602 1004143113204