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5412055035042 = 23223293311143461
BaseRepresentation
bin100111011000001011110…
…0111100010110010100010
3201011101110102100201122100
41032300113213202302202
51202132342042110132
615302132545551230
71066002524524665
oct116602747426242
921141412321570
105412055035042
1117a726aa80137
12734a86345516
1330347c096226
14149d329b16dc
1595ba760c37c
hex4ec179e2ca2

5412055035042 has 96 divisors (see below), whose sum is σ = 12317275466496. Its totient is φ = 1714151894400.

The previous prime is 5412055034923. The next prime is 5412055035109. The reversal of 5412055035042 is 2405305502145.

5412055035042 is a `hidden beast` number, since 5 + 4 + 12 + 0 + 550 + 3 + 50 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 5412055034988 and 5412055035006.

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, 37653192 + ... + 37796652.

It is an arithmetic number, because the mean of its divisors is an integer number (128304952776).

Almost surely, 25412055035042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5412055035042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6158637733248).

5412055035042 is an abundant number, since it is smaller than the sum of its proper divisors (6905220431454).

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

5412055035042 is a wasteful number, since it uses less digits than its factorization.

5412055035042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144096 (or 144093 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 36.

The spelling of 5412055035042 in words is "five trillion, four hundred twelve billion, fifty-five million, thirty-five thousand, forty-two".

Divisors: 1 2 3 6 9 18 23 46 69 138 207 293 311 414 586 622 879 933 1758 1866 2637 2799 5274 5598 6739 7153 13478 14306 20217 21459 40434 42918 60651 64377 91123 121302 128754 143461 182246 273369 286922 430383 546738 820107 860766 1291149 1640214 2095829 2582298 3299603 4191658 6287487 6599206 9898809 12574974 18862461 19797618 29696427 37724922 42034073 44616371 59392854 84068146 89232742 126102219 133849113 252204438 267698226 378306657 401547339 756613314 803094678 966783679 1026176533 1933567358 2052353066 2900351037 3078529599 5800702074 6157059198 8701053111 9235588797 13072596703 17402106222 18471177594 26145193406 39217790109 78435580218 117653370327 235306740654 300669724169 601339448338 902009172507 1804018345014 2706027517521 5412055035042