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4234314052032 = 263313433207227
BaseRepresentation
bin111101100111100000110…
…010001111000111000000
3112222210111121220211122120
4331213200302033013000
51023333333344131112
613001114513204240
7614630151406131
oct75474062170700
915883447824576
104234314052032
111392842991a59
1258477b260680
132493a91ac1bc
14108d287adc88
1575226b65e8c
hex3d9e0c8f1c0

4234314052032 has 112 divisors (see below), whose sum is σ = 11568110195712. Its totient is φ = 1365503293440.

The previous prime is 4234314052021. The next prime is 4234314052069. The reversal of 4234314052032 is 2302504134324.

It is a junction number, because it is equal to n+sod(n) for n = 4234314051984 and 4234314052002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20329603 + ... + 20536829.

It is an arithmetic number, because the mean of its divisors is an integer number (103286698176).

Almost surely, 24234314052032 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 4234314052032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5784055097856).

4234314052032 is an abundant number, since it is smaller than the sum of its proper divisors (7333796143680).

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

4234314052032 is a wasteful number, since it uses less digits than its factorization.

4234314052032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210706 (or 210696 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 33.

Adding to 4234314052032 its reverse (2302504134324), we get a palindrome (6536818186356).

The spelling of 4234314052032 in words is "four trillion, two hundred thirty-four billion, three hundred fourteen million, fifty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 186 192 248 372 496 744 992 1488 1984 2976 3433 5952 6866 10299 13732 20598 27464 41196 54928 82392 106423 109856 164784 207227 212846 219712 319269 329568 414454 425692 621681 638538 659136 828908 851384 1243362 1277076 1657816 1702768 2486724 2554152 3315632 3405536 4973448 5108304 6424037 6631264 6811072 9946896 10216608 12848074 13262528 19272111 19893792 20433216 25696148 38544222 39787584 51392296 77088444 102784592 154176888 205569184 308353776 411138368 616707552 711410291 1233415104 1422820582 2134230873 2845641164 4268461746 5691282328 8536923492 11382564656 17073846984 22053719021 22765129312 34147693968 44107438042 45530258624 66161157063 68295387936 88214876084 132322314126 136590775872 176429752168 264644628252 352859504336 529289256504 705719008672 1058578513008 1411438017344 2117157026016 4234314052032