Search a number
-
+
501133143040 = 2105131747157
BaseRepresentation
bin1110100101011011101…
…11001110110000000000
31202220111211102100021021
413102231313032300000
531202310041034130
61022114542235224
751130355301355
oct7225567166000
91686454370237
10501133143040
1118359065a652
1281158585b14
1338344b3420a
141a37d90c62c
15d08036437a
hex74addcec00

501133143040 has 88 divisors (see below), whose sum is σ = 1211310481392. Its totient is φ = 198922813440.

The previous prime is 501133143031. The next prime is 501133143073. The reversal of 501133143040 is 40341331105.

It is a super-2 number, since 2×5011331430402 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 501133142996 and 501133143014.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 297142 + ... + 1044298.

It is an arithmetic number, because the mean of its divisors is an integer number (13764891834).

Almost surely, 2501133143040 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 501133143040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605655240696).

501133143040 is an abundant number, since it is smaller than the sum of its proper divisors (710177338352).

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

501133143040 is a wasteful number, since it uses less digits than its factorization.

501133143040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 747313 (or 747295 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

Adding to 501133143040 its reverse (40341331105), we get a palindrome (541474474145).

The spelling of 501133143040 in words is "five hundred one billion, one hundred thirty-three million, one hundred forty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 131 160 256 262 320 512 524 640 655 1024 1048 1280 1310 2096 2560 2620 4192 5120 5240 8384 10480 16768 20960 33536 41920 67072 83840 134144 167680 335360 670720 747157 1494314 2988628 3735785 5977256 7471570 11954512 14943140 23909024 29886280 47818048 59772560 95636096 97877567 119545120 191272192 195755134 239090240 382544384 391510268 478180480 489387835 765088768 783020536 956360960 978775670 1566041072 1912721920 1957551340 3132082144 3825443840 3915102680 6264164288 7830205360 12528328576 15660410720 25056657152 31320821440 50113314304 62641642880 100226628608 125283285760 250566571520 501133143040