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241212221040 = 24357269953197
BaseRepresentation
bin1110000010100101011…
…1100110011001110000
3212001121111100102122110
43200221113212121300
512423000312033130
6302451131005320
723266315022640
oct3405127463160
9761544312573
10241212221040
119333001290a
123a8b9599840
131999158469b
14b963680520
15641b5acab0
hex38295e6670

241212221040 has 160 divisors (see below), whose sum is σ = 854913139200. Its totient is φ = 55112758272.

The previous prime is 241212221039. The next prime is 241212221053. The reversal of 241212221040 is 40122212142.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 241212220998 and 241212221016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4507722 + ... + 4560918.

It is an arithmetic number, because the mean of its divisors is an integer number (5343207120).

Almost surely, 2241212221040 is an apocalyptic number.

241212221040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241212221040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427456569600).

241212221040 is an abundant number, since it is smaller than the sum of its proper divisors (613700918160).

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

241212221040 is a wasteful number, since it uses less digits than its factorization.

241212221040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55919 (or 55913 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 241212221040 its reverse (40122212142), we get a palindrome (281334433182).

The spelling of 241212221040 in words is "two hundred forty-one billion, two hundred twelve million, two hundred twenty-one thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 2699 5398 8097 10796 13495 16194 18893 21592 26990 32388 37786 40485 43184 53197 53980 56679 64776 75572 80970 94465 106394 107960 113358 129552 151144 159591 161940 188930 212788 215920 226716 265985 283395 302288 319182 323880 372379 377860 425576 453432 531970 566790 638364 647760 744758 755720 797955 851152 906864 1063940 1117137 1133580 1276728 1489516 1511440 1595910 1861895 2127880 2234274 2267160 2553456 2979032 3191820 3723790 4255760 4468548 4534320 5585685 5958064 6383640 7447580 8937096 11171370 12767280 14895160 17874192 22342740 29790320 44685480 89370960 143578703 287157406 430736109 574314812 717893515 861472218 1005050921 1148629624 1435787030 1722944436 2010101842 2153680545 2297259248 2871574060 3015152763 3445888872 4020203684 4307361090 5025254605 5743148120 6030305526 6891777744 8040407368 8614722180 10050509210 11486296240 12060611052 15075763815 16080814736 17229444360 20101018420 24121222104 30151527630 34458888720 40202036840 48242444208 60303055260 80404073680 120606110520 241212221040