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350411413404 = 223132736733517
BaseRepresentation
bin1010001100101100010…
…01011101011110011100
31020111110202220011110110
411012112021131132130
521220120310212104
6424550552410020
734213343604153
oct5062611353634
91214422804413
10350411413404
11125677120328
1257ab40a6910
1327074ba7c00
1412d6236859a
1591ad21de89
hex519625d79c

350411413404 has 144 divisors (see below), whose sum is σ = 899076347232. Its totient is φ = 106153721856.

The previous prime is 350411413397. The next prime is 350411413409. The reversal of 350411413404 is 404314114053.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350411413409) 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, 99631854 + ... + 99635370.

Almost surely, 2350411413404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 350411413404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449538173616).

350411413404 is an abundant number, since it is smaller than the sum of its proper divisors (548664933828).

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

350411413404 is a wasteful number, since it uses less digits than its factorization.

350411413404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4296 (or 4281 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 350411413404 its reverse (404314114053), we get a palindrome (754725527457).

The spelling of 350411413404 in words is "three hundred fifty billion, four hundred eleven million, four hundred thirteen thousand, four hundred four".

Divisors: 1 2 3 4 6 12 13 26 39 52 73 78 146 156 169 219 292 338 438 507 673 676 876 949 1014 1346 1898 2019 2028 2692 2847 3517 3796 4038 5694 7034 8076 8749 10551 11388 12337 14068 17498 21102 24674 26247 34996 37011 42204 45721 49129 49348 52494 74022 91442 98258 104988 113737 137163 147387 148044 182884 196516 227474 256741 274326 294774 341211 454948 513482 548652 589548 594373 638677 682422 770223 1026964 1188746 1277354 1364844 1540446 1783119 1916031 2366941 2377492 2554708 3080892 3337633 3566238 3832062 4733882 6675266 7100823 7132476 7664124 8302801 9467764 10012899 13350532 14201646 16605602 20025798 24908403 28403292 30770233 33211204 40051596 43389229 49816806 61540466 86778458 92310699 99633612 123080932 130167687 172786693 173556916 184621398 260335374 345573386 369242796 400013029 518360079 520670748 691146772 800026058 1036720158 1200039087 1600052116 2073440316 2246227009 2400078174 4492454018 4800156348 6738681027 8984908036 13477362054 26954724108 29200951117 58401902234 87602853351 116803804468 175205706702 350411413404