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4233431413232 = 2477912719331949
BaseRepresentation
bin111101100110101100001…
…011001111000111110000
3112222201020010002010211122
4331212230023033013300
51023330031420210412
613000451143201412
7614566243166150
oct75465413170760
915881203063748
104233431413232
11139242a7383aa
12584573746268
13249298383b18
14108c83492760
15751c4418572
hex3d9ac2cf1f0

4233431413232 has 160 divisors (see below), whose sum is σ = 9577291776000. Its totient is φ = 1775425526784.

The previous prime is 4233431413213. The next prime is 4233431413273. The reversal of 4233431413232 is 2323141343324.

It is a junction number, because it is equal to n+sod(n) for n = 4233431413192 and 4233431413201.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2172103394 + ... + 2172105342.

It is an arithmetic number, because the mean of its divisors is an integer number (59858073600).

Almost surely, 24233431413232 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 4233431413232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4788645888000).

4233431413232 is an abundant number, since it is smaller than the sum of its proper divisors (5343860362768).

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

4233431413232 is a wasteful number, since it uses less digits than its factorization.

4233431413232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4103 (or 4097 counting only the distinct ones).

The product of its digits is 124416, while the sum is 35.

Adding to 4233431413232 its reverse (2323141343324), we get a palindrome (6556572756556).

The spelling of 4233431413232 in words is "four trillion, two hundred thirty-three billion, four hundred thirty-one million, four hundred thirteen thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 56 79 112 127 158 254 316 508 553 632 889 1016 1106 1264 1778 1933 1949 2032 2212 3556 3866 3898 4424 7112 7732 7796 8848 10033 13531 13643 14224 15464 15592 20066 27062 27286 30928 31184 40132 54124 54572 70231 80264 108248 109144 140462 152707 153971 160528 216496 218288 245491 247523 280924 305414 307942 490982 495046 561848 610828 615884 981964 990092 1068949 1077797 1123696 1221656 1231768 1718437 1732661 1963928 1980184 2137898 2155594 2443312 2463536 3436874 3465322 3767417 3927856 3960368 4275796 4311188 6873748 6930644 7534834 8551592 8622376 13747496 13861288 15069668 17103184 17244752 19393789 19554317 26371919 27494992 27722576 30139336 38787578 39108634 52743838 60278672 77575156 78217268 105487676 135756523 136880219 155150312 156434536 210975352 271513046 273760438 297625943 310300624 312869072 421950704 478461959 543026092 547520876 595251886 956923918 1086052184 1095041752 1190503772 1913847836 2083381601 2172104368 2190083504 2381007544 3349233713 3827695672 4166763202 4762015088 6698467426 7655391344 8333526404 13396934852 16667052808 26793869704 33334105616 37798494761 53587739408 75596989522 151193979044 264589463327 302387958088 529178926654 604775916176 1058357853308 2116715706616 4233431413232