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4021233041133 = 337116763145751
BaseRepresentation
bin111010100001000100001…
…010101011111011101101
3112020102111122101221122000
4322201010022223323231
51011340441124304013
612315155015442513
7563344621611120
oct72410412537355
915212448357560
104021233041133
111310439244750
1254b412986439
1323227ba95ab9
14dc8b32b63b7
156e9050db973
hex3a8442abeed

4021233041133 has 128 divisors (see below), whose sum is σ = 7550353735680. Its totient is φ = 2054467800000.

The previous prime is 4021233041057. The next prime is 4021233041171. The reversal of 4021233041133 is 3311403321204.

It is a happy number.

4021233041133 is a `hidden beast` number, since 4 + 0 + 212 + 3 + 3 + 0 + 411 + 33 = 666.

It is not a de Polignac number, because 4021233041133 - 217 = 4021232910061 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 4021233041097 and 4021233041106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4021233041233) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 87871008 + ... + 87916758.

It is an arithmetic number, because the mean of its divisors is an integer number (58987138560).

Almost surely, 24021233041133 is an apocalyptic number.

It is an amenable number.

4021233041133 is a deficient number, since it is larger than the sum of its proper divisors (3529120694547).

4021233041133 is a wasteful number, since it uses less digits than its factorization.

4021233041133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46476 (or 46470 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 4021233041133 its reverse (3311403321204), we get a palindrome (7332636362337).

The spelling of 4021233041133 in words is "four trillion, twenty-one billion, two hundred thirty-three million, forty-one thousand, one hundred thirty-three".

Divisors: 1 3 7 9 11 21 27 33 63 67 77 99 189 201 231 297 469 603 631 693 737 1407 1809 1893 2079 2211 4221 4417 5159 5679 6633 6941 12663 13251 15477 17037 19899 20823 39753 42277 45751 46431 48587 62469 119259 126831 137253 139293 145761 187407 295939 320257 380493 411759 437283 465047 503261 887817 960771 1141479 1235277 1311849 1395141 1509783 2663451 2882313 3065317 3255329 3522827 4185423 4529349 7990353 8646939 9195951 9765987 10568481 12556269 13588047 21457219 27587853 28868881 29297961 31705443 33718487 64371657 82763559 86606643 87893883 95116329 101155461 193114971 202082167 236029409 259819929 303466383 317557691 579344913 606246501 708088227 779459787 910399149 952673073 1818739503 1934215027 2124264681 2222903837 2858019219 5456218509 5802645081 6372794043 6668711511 8574057657 13539505189 17407935243 20006134533 21276365297 40618515567 52223805729 60018403599 63829095891 121855546701 148934557079 191487287673 365566640103 446803671237 574461863019 1340411013711 4021233041133