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4241210412132 = 2234371475923971
BaseRepresentation
bin111101101101111011110…
…101110000110001100100
3120000110022020122020020000
4331231323311300301210
51023441444331142012
613004215110141300
7615263101453221
oct75557365606144
916013266566200
104241210412132
111395761789411
12585b84951830
13249c37b98955
141093c066c948
15754cc30bddc
hex3db7bd70c64

4241210412132 has 120 divisors (see below), whose sum is σ = 11388266809920. Its totient is φ = 1375377122880.

The previous prime is 4241210412121. The next prime is 4241210412139. The reversal of 4241210412132 is 2312140121424.

4241210412132 is a `hidden beast` number, since 4 + 2 + 4 + 1 + 210 + 412 + 1 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 4241210412096 and 4241210412105.

It is not an unprimeable number, because it can be changed into a prime (4241210412139) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 176918907 + ... + 176942877.

It is an arithmetic number, because the mean of its divisors is an integer number (94902223416).

Almost surely, 24241210412132 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 4241210412132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5694133404960).

4241210412132 is an abundant number, since it is smaller than the sum of its proper divisors (7147056397788).

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

4241210412132 is a wasteful number, since it uses less digits than its factorization.

4241210412132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38783 (or 38772 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 4241210412132 its reverse (2312140121424), we get a palindrome (6553350533556).

The spelling of 4241210412132 in words is "four trillion, two hundred forty-one billion, two hundred ten million, four hundred twelve thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 81 108 111 148 162 222 324 333 444 666 999 1332 1998 2997 3996 5994 11988 14759 23971 29518 44277 47942 59036 71913 88554 95884 132831 143826 177108 215739 265662 287652 398493 431478 531324 546083 647217 796986 862956 886927 1092166 1195479 1294434 1593972 1638249 1773854 1941651 2184332 2390958 2588868 2660781 3276498 3547708 3883302 4781916 4914747 5321562 6552996 7766604 7982343 9829494 10643124 14744241 15964686 19658988 23947029 29488482 31929372 44232723 47894058 58976964 71841087 88465446 95788116 143682174 176930892 287364348 353787989 707575978 1061363967 1415151956 2122727934 3184091901 4245455868 6368183802 9552275703 12736367604 13090155593 19104551406 26180311186 28656827109 38209102812 39270466779 52360622372 57313654218 78540933558 114627308436 117811400337 157081867116 235622800674 353434201011 471245601348 706868402022 1060302603033 1413736804044 2120605206066 4241210412132