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141335050240 = 2115107128993
BaseRepresentation
bin1000001110100000111…
…0011011100000000000
3111111210212211110101101
42003220032123200000
54303423233101430
6144532312344144
713132262051026
oct2035016334000
9444725743341
10141335050240
1154a37a5114a
12234849a5054
131043534c857
146baaa74716
153a23036dca
hex20e839b800

141335050240 has 96 divisors (see below), whose sum is σ = 342293318640. Its totient is φ = 56005230592.

The previous prime is 141335050237. The next prime is 141335050243. The reversal of 141335050240 is 42050533141.

It is an interprime number because it is at equal distance from previous prime (141335050237) and next prime (141335050243).

It is a junction number, because it is equal to n+sod(n) for n = 141335050199 and 141335050208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141335050243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1031184 + ... + 1160176.

Almost surely, 2141335050240 is an apocalyptic number.

141335050240 is a gapful number since it is divisible by the number (10) 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 141335050240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171146659320).

141335050240 is an abundant number, since it is smaller than the sum of its proper divisors (200958268400).

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

141335050240 is a wasteful number, since it uses less digits than its factorization.

141335050240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129127 (or 129107 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

Adding to 141335050240 its reverse (42050533141), we get a palindrome (183385583381).

The spelling of 141335050240 in words is "one hundred forty-one billion, three hundred thirty-five million, fifty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 107 128 160 214 256 320 428 512 535 640 856 1024 1070 1280 1712 2048 2140 2560 3424 4280 5120 6848 8560 10240 13696 17120 27392 34240 54784 68480 109568 128993 136960 219136 257986 273920 515972 547840 644965 1031944 1095680 1289930 2063888 2579860 4127776 5159720 8255552 10319440 13802251 16511104 20638880 27604502 33022208 41277760 55209004 66044416 69011255 82555520 110418008 132088832 138022510 165111040 220836016 264177664 276045020 330222080 441672032 552090040 660444160 883344064 1104180080 1320888320 1766688128 2208360160 3533376256 4416720320 7066752512 8833440640 14133505024 17666881280 28267010048 35333762560 70667525120 141335050240