Search a number
-
+
350500242002432 = 2912718232956841
BaseRepresentation
bin100111110110001110011001…
…0011010110001001000000000
31200222000111101111200120011112
41033230130302122301020000
5331420043443423034212
63241241331023502452
7133553543512113164
oct11754346232611000
91628014344616145
10350500242002432
11a17533550a7015
1233389365a57a28
1312076053147c62
14627a43345aca4
152a7c4b04a6422
hex13ec7326b1200

350500242002432 has 80 divisors (see below), whose sum is σ = 706217631178752. Its totient is φ = 173774764154880.

The previous prime is 350500242002419. The next prime is 350500242002441. The reversal of 350500242002432 is 234200242005053.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 117060332 + ... + 120017172.

Almost surely, 2350500242002432 is an apocalyptic number.

350500242002432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 350500242002432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353108815589376).

350500242002432 is an abundant number, since it is smaller than the sum of its proper divisors (355717389176320).

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

350500242002432 is a wasteful number, since it uses less digits than its factorization.

350500242002432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2958809 (or 2958793 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 32.

Adding to 350500242002432 its reverse (234200242005053), we get a palindrome (584700484007485).

The spelling of 350500242002432 in words is "three hundred fifty trillion, five hundred billion, two hundred forty-two million, two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 127 128 254 256 508 512 1016 1823 2032 3646 4064 7292 8128 14584 16256 29168 32512 58336 65024 116672 231521 233344 463042 466688 926084 933376 1852168 2956841 3704336 5913682 7408672 11827364 14817344 23654728 29634688 47309456 59269376 94618912 118538752 189237824 375518807 378475648 751037614 756951296 1502075228 1513902592 3004150456 5390321143 6008300912 10780642286 12016601824 21561284572 24033203648 43122569144 48066407296 86245138288 96132814592 172490276576 192265629184 344980553152 684570785161 689961106304 1369141570322 1379922212608 2738283140644 2759844425216 5476566281288 10953132562576 21906265125152 43812530250304 87625060500608 175250121001216 350500242002432