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153225312211404 = 223223973475497927
BaseRepresentation
bin100010110101101110001100…
…010011100001000111001100
3202002112012022110102022201100
4202311232030103201013030
5130040420414411231104
61301514423042143100
744163110035205256
oct4265561423410714
9662465273368640
10153225312211404
1144905543193214
1215228113051a90
136766114806564
1429ba20500ccd6
1512aab1e3dc139
hex8b5b8c4e11cc

153225312211404 has 144 divisors (see below), whose sum is σ = 409502918942208. Its totient is φ = 48211445044224.

The previous prime is 153225312211397. The next prime is 153225312211417. The reversal of 153225312211404 is 404112213522351.

153225312211404 is a `hidden beast` number, since 1 + 5 + 3 + 2 + 2 + 5 + 31 + 2 + 211 + 404 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 25120689 + ... + 30618615.

It is an arithmetic number, because the mean of its divisors is an integer number (2843770270432).

Almost surely, 2153225312211404 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 153225312211404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204751459471104).

153225312211404 is an abundant number, since it is smaller than the sum of its proper divisors (256277606730804).

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

153225312211404 is a wasteful number, since it uses less digits than its factorization.

153225312211404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5498404 (or 5498399 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 153225312211404 its reverse (404112213522351), we get a palindrome (557337525733755).

The spelling of 153225312211404 in words is "one hundred fifty-three trillion, two hundred twenty-five billion, three hundred twelve million, two hundred eleven thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 97 138 194 207 276 291 347 388 414 582 694 828 873 1041 1164 1388 1746 2082 2231 3123 3492 4164 4462 6246 6693 7981 8924 12492 13386 15962 20079 23943 26772 31924 33659 40158 47886 67318 71829 80316 95772 100977 134636 143658 201954 287316 302931 403908 605862 774157 1211724 1548314 2322471 3096628 4644942 5497927 6967413 9289884 10995854 13934826 16493781 21991708 27869652 32987562 49481343 65975124 98962686 126452321 197925372 252904642 379356963 505809284 533298919 758713926 1066597838 1138070889 1517427852 1599896757 1907780669 2133195676 2276141778 3199793514 3815561338 4552283556 4799690271 5723342007 6399587028 7631122676 9599380542 11446684014 12265875137 17170026021 19198761084 22893368028 24531750274 34340052042 36797625411 43878955387 49063500548 68680104084 73595250822 87757910774 110392876233 131636866161 147190501644 175515821548 185054724893 220785752466 263273732322 370109449786 394910598483 441571504932 526547464644 555164174679 740218899572 789821196966 1110328349358 1579642393932 1665492524037 2220656698716 3330985048074 4256258672539 6661970096148 8512517345078 12768776017617 17025034690156 25537552035234 38306328052851 51075104070468 76612656105702 153225312211404