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38430442437145 = 51123463580111311
BaseRepresentation
bin10001011110011110010001…
…10111101011101000011001
312001001220200121110120101021
420233033020313223220121
520014121021230442040
6213422411310322441
711044336121635513
oct1057171067535031
9161056617416337
1038430442437145
1111277293970250
1243880b14b9421
131859c8a5b6055
1496c086cc6bb3
154699e600924a
hex22f3c8deba19

38430442437145 has 64 divisors (see below), whose sum is σ = 52623392145408. Its totient is φ = 26669522880000.

The previous prime is 38430442437139. The next prime is 38430442437181. The reversal of 38430442437145 is 54173424403483.

It is not a de Polignac number, because 38430442437145 - 23 = 38430442437137 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 38430442437092 and 38430442437101.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3397611040 + ... + 3397622350.

It is an arithmetic number, because the mean of its divisors is an integer number (822240502272).

Almost surely, 238430442437145 is an apocalyptic number.

It is an amenable number.

38430442437145 is a deficient number, since it is larger than the sum of its proper divisors (14192949708263).

38430442437145 is a wasteful number, since it uses less digits than its factorization.

38430442437145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17614.

The product of its (nonzero) digits is 15482880, while the sum is 52.

The spelling of 38430442437145 in words is "thirty-eight trillion, four hundred thirty billion, four hundred forty-two million, four hundred thirty-seven thousand, one hundred forty-five".

Divisors: 1 5 11 23 55 115 253 463 1265 2315 5093 5801 10649 11311 25465 29005 53245 56555 63811 117139 124421 133423 260153 319055 585695 622105 667115 1300765 1467653 2685863 2861683 5236993 7338265 13429315 14308415 26184965 29544493 57606923 61774849 65615111 120450839 147722465 288034615 308874245 328075555 602254195 679523339 721766221 1324959229 1509147553 3397616695 3608831105 6624796145 7545737765 16600623083 30379796393 83003115415 151898981965 334177760323 698735317039 1670888801615 3493676585195 7686088487429 38430442437145