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3481032256450 = 252729232573631
BaseRepresentation
bin110010101001111101101…
…100001110101111000010
3110022210011010022210002021
4302221331230032233002
5424013123224201300
611223055242112054
7506332136654530
oct62517554165702
913283133283067
103481032256450
11112232aa5a761
124827927ab62a
131c334c0c5288
14c06a8d7b150
156083a05ed1a
hex32a7db0ebc2

3481032256450 has 144 divisors (see below), whose sum is σ = 7668104281344. Its totient is φ = 1151670643200.

The previous prime is 3481032256439. The next prime is 3481032256453. The reversal of 3481032256450 is 546522301843.

It is a super-3 number, since 3×34810322564503 (a number of 39 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3481032256397 and 3481032256406.

It is not an unprimeable number, because it can be changed into a prime (3481032256453) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 958696135 + ... + 958699765.

It is an arithmetic number, because the mean of its divisors is an integer number (53250724176).

Almost surely, 23481032256450 is an apocalyptic number.

3481032256450 is an abundant number, since it is smaller than the sum of its proper divisors (4187072024894).

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

3481032256450 is a wasteful number, since it uses less digits than its factorization.

3481032256450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6965 (or 6931 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 43.

The spelling of 3481032256450 in words is "three trillion, four hundred eighty-one billion, thirty-two million, two hundred fifty-six thousand, four hundred fifty".

Divisors: 1 2 5 7 10 14 25 29 35 50 58 70 145 175 203 290 350 406 725 841 1015 1450 1682 2030 3257 3631 4205 5075 5887 6514 7262 8410 10150 11774 16285 18155 21025 22799 25417 29435 32570 36310 42050 45598 50834 58870 81425 90775 94453 105299 113995 127085 147175 162850 181550 188906 210598 227990 254170 294350 472265 526495 569975 635425 661171 737093 944530 1052990 1139950 1270850 1322342 1474186 2361325 2632475 2739137 3053671 3305855 3685465 4722650 5264950 5478274 6107342 6611710 7370930 11826167 13695685 15268355 16529275 18427325 19173959 21375697 23652334 27391370 30536710 33058550 36854650 38347918 42751394 59130835 68478425 76341775 82783169 95869795 106878485 118261670 136956850 152683550 165566338 191739590 213756970 295654175 342958843 413915845 479348975 534392425 591308350 685917686 827831690 958697950 1068784850 1714794215 2069579225 2400711901 3429588430 4139158450 4801423802 8573971075 9945806447 12003559505 17147942150 19891612894 24007119010 49729032235 60017797525 69620645129 99458064470 120035595050 139241290258 248645161175 348103225645 497290322350 696206451290 1740516128225 3481032256450