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133440143104440 = 233253643101747753
BaseRepresentation
bin11110010101110011110100…
…010101000001100110111000
3122111110202100000011221002200
4132111303310111001212320
5114442240403113320230
61151445315551430200
740051506066500514
oct3625636425014670
9574422300157080
10133440143104440
1139577713006877
1212b71715b25360
13595c47532c053
1424d4774837144
15106613ea39160
hex795cf45419b8

133440143104440 has 96 divisors (see below), whose sum is σ = 433799514223920. Its totient is φ = 35574270027264.

The previous prime is 133440143104417. The next prime is 133440143104493. The reversal of 133440143104440 is 44401341044331.

133440143104440 is a `hidden beast` number, since 1 + 3 + 34 + 40 + 1 + 43 + 104 + 440 = 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 = 133440143104395 and 133440143104404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49562397 + ... + 52185356.

Almost surely, 2133440143104440 is an apocalyptic number.

133440143104440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133440143104440 is an abundant number, since it is smaller than the sum of its proper divisors (300359371119480).

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

133440143104440 is a wasteful number, since it uses less digits than its factorization.

133440143104440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101751413 (or 101751406 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 133440143104440 its reverse (44401341044331), we get a palindrome (177841484148771).

The spelling of 133440143104440 in words is "one hundred thirty-three trillion, four hundred forty billion, one hundred forty-three million, one hundred four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 3643 7286 10929 14572 18215 21858 29144 32787 36430 43716 54645 65574 72860 87432 109290 131148 145720 163935 218580 262296 327870 437160 655740 1311480 101747753 203495506 305243259 406991012 508738765 610486518 813982024 915729777 1017477530 1220973036 1526216295 1831459554 2034955060 2441946072 3052432590 3662919108 4069910120 4578648885 6104865180 7325838216 9157297770 12209730360 18314595540 36629191080 370667064179 741334128358 1112001192537 1482668256716 1853335320895 2224002385074 2965336513432 3336003577611 3706670641790 4448004770148 5560005962685 6672007155222 7413341283580 8896009540296 11120011925370 13344014310444 14826682567160 16680017888055 22240023850740 26688028620888 33360035776110 44480047701480 66720071552220 133440143104440