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133434341244 = 223267293349541
BaseRepresentation
bin111110001000101001…
…1100111011101111100
3110202102021020212010200
41330101103213131330
54141233142404434
6141144321003500
712432425121021
oct1742123473574
9422367225120
10133434341244
1151653230586
1221a3aa83590
13c776562609
14665b655548
15370e601199
hex1f114e777c

133434341244 has 144 divisors (see below), whose sum is σ = 345115898400. Its totient is φ = 43459130880.

The previous prime is 133434341233. The next prime is 133434341281. The reversal of 133434341244 is 442143434331.

133434341244 is a `hidden beast` number, since 1 + 3 + 34 + 343 + 41 + 244 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 133434341199 and 133434341208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 246643614 + ... + 246644154.

Almost surely, 2133434341244 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 133434341244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172557949200).

133434341244 is an abundant number, since it is smaller than the sum of its proper divisors (211681557156).

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

133434341244 is a wasteful number, since it uses less digits than its factorization.

133434341244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1260 (or 1255 counting only the distinct ones).

The product of its digits is 165888, while the sum is 36.

Adding to 133434341244 its reverse (442143434331), we get a palindrome (575577775575).

The spelling of 133434341244 in words is "one hundred thirty-three billion, four hundred thirty-four million, three hundred forty-one thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 67 134 201 268 293 349 402 541 586 603 698 804 879 1047 1082 1172 1206 1396 1623 1758 2094 2164 2412 2637 3141 3246 3516 4188 4869 5274 6282 6492 9738 10548 12564 19476 19631 23383 36247 39262 46766 58893 70149 72494 78524 93532 102257 108741 117786 140298 144988 158513 176679 188809 204514 210447 217482 235572 280596 306771 317026 326223 353358 377618 409028 420894 434964 475539 566427 613542 634052 652446 706716 755236 841788 920313 951078 1132854 1227084 1304892 1426617 1699281 1840626 1902156 2265708 2853234 3398562 3681252 5706468 6797124 6851219 10620371 12650203 13702438 20553657 21240742 25300406 27404876 31861113 37950609 41107314 42481484 50600812 55321037 61660971 63722226 75901218 82214628 95583339 110642074 113851827 123321942 127444452 151802436 165963111 191166678 221284148 227703654 246643884 331926222 382333356 455407308 497889333 663852444 995778666 1991557332 3706509479 7413018958 11119528437 14826037916 22239056874 33358585311 44478113748 66717170622 133434341244