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400034211213033 = 34192322916943567
BaseRepresentation
bin101101011110101000011100…
…1000011101010111011101001
31221110101220012222200210210000
41122331100321003222323221
5404413130031032304113
63534445102444013213
7150155342450303235
oct13275207103527351
91843356188623700
10400034211213033
111065106133a5381
1238a49387b31209
131422a0ab216587
1470ada8b0a75c5
15313ac1b7ee373
hex16bd4390eaee9

400034211213033 has 120 divisors (see below), whose sum is σ = 680246979350400. Its totient is φ = 233334862681536.

The previous prime is 400034211212989. The next prime is 400034211213139. The reversal of 400034211213033 is 330312112430004.

It is a happy number.

400034211213033 is a `hidden beast` number, since 4 + 0 + 0 + 0 + 342 + 1 + 12 + 1 + 303 + 3 = 666.

It is not a de Polignac number, because 400034211213033 - 216 = 400034211147497 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 = 400034211212988 and 400034211213006.

It is not an unprimeable number, because it can be changed into a prime (400034211263033) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 15138016 + ... + 32081582.

It is an arithmetic number, because the mean of its divisors is an integer number (5668724827920).

Almost surely, 2400034211213033 is an apocalyptic number.

It is an amenable number.

400034211213033 is a deficient number, since it is larger than the sum of its proper divisors (280212768137367).

400034211213033 is a wasteful number, since it uses less digits than its factorization.

400034211213033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16943673 (or 16943641 counting only the distinct ones).

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

Adding to 400034211213033 its reverse (330312112430004), we get a palindrome (730346323643037).

The spelling of 400034211213033 in words is "four hundred trillion, thirty-four billion, two hundred eleven million, two hundred thirteen thousand, thirty-three".

Divisors: 1 3 9 19 23 27 29 57 69 81 87 171 207 261 437 513 529 551 621 667 783 1311 1539 1587 1653 1863 2001 2349 3933 4761 4959 6003 10051 11799 12673 14283 14877 15341 18009 30153 35397 38019 42849 44631 46023 54027 90459 114057 138069 271377 291479 342171 414207 814131 874437 1026513 1242621 2623311 7869933 16943567 23609799 50830701 152492103 321927773 389702041 457476309 491363443 965783319 1169106123 1372428927 1474090329 2897349957 3507318369 4422270987 7404338779 8692049871 8963146943 9335905417 10521955107 11301359189 13266812961 22213016337 26076149613 26889440829 28007716251 31565865321 33904077567 39800438883 66639049011 80668322487 84023148753 101712232701 170299791917 199917147033 214725824591 242004967461 252069446259 259931261347 305136698103 510899375751 599751441099 644177473773 726014902383 756208338777 779793784041 915410094309 1532698127253 1932532421319 2339381352123 4598094381759 4938693965593 5797597263957 7018144056369 13794283145277 14816081896779 17392791791871 21054432169107 44448245690337 133344737071011 400034211213033