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412552142355120 = 243529487121714031
BaseRepresentation
bin101110111001101101100011…
…1111001010111101010110000
32000002201121012010121000112120
41131303123013321113222300
5413033223241420330440
64021231500543554240
7152616623451351405
oct13563330771275260
92002647163530476
10412552142355120
1110a4a7421169069
123a32b4518bb980
1314927666925771
1473c38b74d02ac
1532a6664658dd0
hex17736c7e57ab0

412552142355120 has 160 divisors (see below), whose sum is σ = 1325728710789120. Its totient is φ = 106002209295360.

The previous prime is 412552142355113. The next prime is 412552142355193. The reversal of 412552142355120 is 21553241255214.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57467496 + ... + 64246535.

It is an arithmetic number, because the mean of its divisors is an integer number (8285804442432).

Almost surely, 2412552142355120 is an apocalyptic number.

412552142355120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

412552142355120 is an abundant number, since it is smaller than the sum of its proper divisors (913176568434000).

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

412552142355120 is a wasteful number, since it uses less digits than its factorization.

412552142355120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121714563 (or 121714557 counting only the distinct ones).

The product of its (nonzero) digits is 480000, while the sum is 42.

The spelling of 412552142355120 in words is "four hundred twelve trillion, five hundred fifty-two billion, one hundred forty-two million, three hundred fifty-five thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 40 48 58 60 80 87 116 120 145 174 232 240 290 348 435 464 487 580 696 870 974 1160 1392 1461 1740 1948 2320 2435 2922 3480 3896 4870 5844 6960 7305 7792 9740 11688 14123 14610 19480 23376 28246 29220 38960 42369 56492 58440 70615 84738 112984 116880 141230 169476 211845 225968 282460 338952 423690 564920 677904 847380 1129840 1694760 3389520 121714031 243428062 365142093 486856124 608570155 730284186 973712248 1217140310 1460568372 1825710465 1947424496 2434280620 2921136744 3529706899 3651420930 4868561240 5842273488 7059413798 7302841860 9737122480 10589120697 14118827596 14605683720 17648534495 21178241394 28237655192 29211367440 35297068990 42356482788 52945603485 56475310384 59274733097 70594137980 84712965576 105891206970 118549466194 141188275960 169425931152 177824199291 211782413940 237098932388 282376551920 296373665485 355648398582 423564827880 474197864776 592747330970 711296797164 847129655760 889120996455 948395729552 1185494661940 1422593594328 1718967259813 1778241992910 2370989323880 2845187188656 3437934519626 3556483985820 4741978647760 5156901779439 6875869039252 7112967971640 8594836299065 10313803558878 13751738078504 14225935943280 17189672598130 20627607117756 25784508897195 27503476157008 34379345196260 41255214235512 51569017794390 68758690392520 82510428471024 103138035588780 137517380785040 206276071177560 412552142355120