Search a number
-
+
4233433020348 = 2237271259339107
BaseRepresentation
bin111101100110101100010…
…001010111011110111100
3112222201020020002210101110
4331212230101113132330
51023330032323122343
613000451241442020
7614566262641500
oct75465421273674
915881206083343
104233433020348
1113924306358a4
125845741a0310
132492987c748c
14108c83790300
15751c4634833
hex3d9ac4577bc

4233433020348 has 144 divisors (see below), whose sum is σ = 11657380218624. Its totient is φ = 1192025963520.

The previous prime is 4233433020347. The next prime is 4233433020403. The reversal of 4233433020348 is 8430203343324.

It is a super-2 number, since 2×42334330203482 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4233433020347) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 108233011 + ... + 108272117.

It is an arithmetic number, because the mean of its divisors is an integer number (80954029296).

Almost surely, 24233433020348 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 4233433020348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5828690109312).

4233433020348 is an abundant number, since it is smaller than the sum of its proper divisors (7423947198276).

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

4233433020348 is a wasteful number, since it uses less digits than its factorization.

4233433020348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41792 (or 41783 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 39.

The spelling of 4233433020348 in words is "four trillion, two hundred thirty-three billion, four hundred thirty-three million, twenty thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 71 84 98 142 147 196 213 284 294 426 497 588 852 994 1491 1988 2593 2982 3479 5186 5964 6958 7779 10372 10437 13916 15558 18151 20874 31116 36302 39107 41748 54453 72604 78214 108906 117321 127057 156428 184103 217812 234642 254114 273749 368206 381171 469284 508228 547498 552309 736412 762342 821247 1094996 1104618 1288721 1524684 1642494 1916243 2209236 2577442 2776597 3284988 3832486 3866163 5154884 5553194 5748729 7664972 7732326 8329791 9021047 11106388 11497458 15464652 16659582 18042094 19436179 22994916 27063141 33319164 36084188 38872358 54126282 58308537 77744716 101404451 108252564 116617074 136053253 202808902 233234148 272106506 304213353 405617804 408159759 544213012 608426706 709831157 816319518 1216853412 1419662314 1632639036 2129493471 2839324628 4258986942 4968818099 7199716021 8517973884 9937636198 14399432042 14906454297 19875272396 21599148063 28798864084 29812908594 43198296126 50398012147 59625817188 86396592252 100796024294 151194036441 201592048588 302388072882 352786085029 604776145764 705572170058 1058358255087 1411144340116 2116716510174 4233433020348