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133342434040140 = 2232513232477562877
BaseRepresentation
bin11110010100011000110100…
…011010100001100101001100
3122111010102010111100011211100
4132110120310122201211030
5114434140301103241030
61151332400223223100
740041446551242033
oct3624306432414514
9574112114304740
10133342434040140
113953a232870666
1212b567a7447a90
1359531a333ca80
1424cdb45b6571a
1510638219d0360
hex7946346a194c

133342434040140 has 144 divisors (see below), whose sum is σ = 454523775346368. Its totient is φ = 31395676764672.

The previous prime is 133342434040139. The next prime is 133342434040147. The reversal of 133342434040140 is 41040434243331.

133342434040140 is a `hidden beast` number, since 1 + 3 + 3 + 3 + 4 + 243 + 4 + 0 + 401 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 133342434040095 and 133342434040104.

It is not an unprimeable number, because it can be changed into a prime (133342434040147) 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, 1238727619 + ... + 1238835258.

It is an arithmetic number, because the mean of its divisors is an integer number (3156415106572).

Almost surely, 2133342434040140 is an apocalyptic number.

133342434040140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133342434040140 is an abundant number, since it is smaller than the sum of its proper divisors (321181341306228).

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

133342434040140 is a wasteful number, since it uses less digits than its factorization.

133342434040140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2477562928 (or 2477562923 counting only the distinct ones).

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

Adding to 133342434040140 its reverse (41040434243331), we get a palindrome (174382868283471).

The spelling of 133342434040140 in words is "one hundred thirty-three trillion, three hundred forty-two billion, four hundred thirty-four million, forty thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 23 26 30 36 39 45 46 52 60 65 69 78 90 92 115 117 130 138 156 180 195 207 230 234 260 276 299 345 390 414 460 468 585 598 690 780 828 897 1035 1170 1196 1380 1495 1794 2070 2340 2691 2990 3588 4140 4485 5382 5980 8970 10764 13455 17940 26910 53820 2477562877 4955125754 7432688631 9910251508 12387814385 14865377262 22298065893 24775628770 29730754524 32208317401 37163443155 44596131786 49551257540 56983946171 64416634802 74326886310 89192263572 96624952203 111490329465 113967892342 128833269604 148653772620 161041587005 170951838513 193249904406 222980658930 227935784684 284919730855 289874856609 322083174010 341903677026 386499808812 445961317860 483124761015 512855515539 569839461710 579749713218 644166348020 683807354052 740791300223 854759192565 966249522030 1025711031078 1139678923420 1159499426436 1449374283045 1481582600446 1709518385130 1932499044060 2051422062156 2222373900669 2564277577695 2898748566090 2963165200892 3419036770260 3703956501115 4444747801338 5128555155390 5797497132180 6667121702007 7407913002230 8889495602676 10257110310780 11111869503345 13334243404014 14815826004460 22223739006690 26668486808028 33335608510035 44447478013380 66671217020070 133342434040140