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1004435243124 = 2231941131820223
BaseRepresentation
bin11101001110111010000…
…00011000000001110100
310120000121211010010020220
432213131000120001310
5112424040410234444
62045233045054340
7132365561461005
oct16473500300164
93500554103226
101004435243124
11357a84566785
121427bb3b73b0
137394411b161
14368874d71ac
151b1dad12619
hexe9dd018074

1004435243124 has 96 divisors (see below), whose sum is σ = 2546500239360. Its totient is φ = 307091116800.

The previous prime is 1004435243113. The next prime is 1004435243137. The reversal of 1004435243124 is 4213425344001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 814477 + ... + 1634699.

It is an arithmetic number, because the mean of its divisors is an integer number (26526044160).

Almost surely, 21004435243124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1004435243124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1273250119680).

1004435243124 is an abundant number, since it is smaller than the sum of its proper divisors (1542064996236).

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

1004435243124 is a wasteful number, since it uses less digits than its factorization.

1004435243124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820421 (or 820419 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 33.

The spelling of 1004435243124 in words is "one trillion, four billion, four hundred thirty-five million, two hundred forty-three thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 12 19 38 41 57 76 82 114 123 131 164 228 246 262 393 492 524 779 786 1558 1572 2337 2489 3116 4674 4978 5371 7467 9348 9956 10742 14934 16113 21484 29868 32226 64452 102049 204098 306147 408196 612294 820223 1224588 1640446 2460669 3280892 4921338 9842676 15584237 31168474 33629143 46752711 62336948 67258286 93505422 100887429 107449213 134516572 187010844 201774858 214898426 322347639 403549716 429796852 638953717 644695278 1277907434 1289390556 1916861151 2041535047 2555814868 3833722302 4083070094 4405417733 6124605141 7667444604 8166140188 8810835466 12249210282 13216253199 17621670932 24498420564 26432506398 52865012796 83702936927 167405873854 251108810781 334811747708 502217621562 1004435243124