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434436409156134 = 2371131103129421437
BaseRepresentation
bin110001011000111100001101…
…1110110000110001000100110
32002222012201022022110201022010
41202301320123312012020212
5423420301231220444014
64135545155311015050
7160335665132061150
oct14261703366061046
92088181268421263
10434436409156134
111164744a02645a0
124088482a50a486
1315854240250918
14793cb97819ad0
153535a4bdde359
hex18b1e1bd86226

434436409156134 has 128 divisors (see below), whose sum is σ = 1119298830925824. Its totient is φ = 109094684688000.

The previous prime is 434436409156117. The next prime is 434436409156207. The reversal of 434436409156134 is 431651904634434.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 55264 + ... + 29476700.

It is an arithmetic number, because the mean of its divisors is an integer number (8744522116608).

Almost surely, 2434436409156134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434436409156134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559649415462912).

434436409156134 is an abundant number, since it is smaller than the sum of its proper divisors (684862421769690).

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

434436409156134 is a wasteful number, since it uses less digits than its factorization.

434436409156134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29422522.

The product of its (nonzero) digits is 44789760, while the sum is 57.

The spelling of 434436409156134 in words is "four hundred thirty-four trillion, four hundred thirty-six billion, four hundred nine million, one hundred fifty-six thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 11 14 21 22 31 33 42 62 66 77 93 154 186 217 231 341 434 462 651 682 1023 1031 1302 2046 2062 2387 3093 4774 6186 7161 7217 11341 14322 14434 21651 22682 31961 34023 43302 63922 68046 79387 95883 158774 191766 223727 238161 351571 447454 476322 671181 703142 1054713 1342362 2109426 2460997 4921994 7382991 14765982 29421437 58842874 88264311 176528622 205950059 323635807 411900118 617850177 647271614 912064547 970907421 1235700354 1824129094 1941814842 2265450649 2736193641 4530901298 5472387282 6384451829 6796351947 10032710017 12768903658 13592703894 19153355487 20065420034 30098130051 30333501547 38306710974 60196260102 60667003094 70228970119 91000504641 140457940238 182001009282 210686910357 212334510829 333668517017 421373820714 424669021658 637003532487 667337034034 940338547957 1001005551051 1274007064974 1880677095914 2002011102102 2335679619119 2821015643871 4671359238238 5642031287742 6582369835699 7007038857357 10343724027527 13164739671398 14014077714714 19747109507097 20687448055054 31031172082581 39494219014194 62062344165162 72406068192689 144812136385378 217218204578067 434436409156134