Search a number
-
+
434111917470 = 2357111025318329
BaseRepresentation
bin1100101000100110001…
…01100010110110011110
31112111112000011022201120
412110103011202312132
524103030122324340
6531232300551410
743235461262310
oct6242305426636
91474460138646
10434111917470
11158118950930
1270173252566
1331c2387bbaa
14170227757b0
15b45b5034d0
hex6513162d9e

434111917470 has 128 divisors (see below), whose sum is σ = 1299150627840. Its totient is φ = 90191354880.

The previous prime is 434111917469. The next prime is 434111917537. The reversal of 434111917470 is 74719111434.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23675266 + ... + 23693594.

It is an arithmetic number, because the mean of its divisors is an integer number (10149614280).

Almost surely, 2434111917470 is an apocalyptic number.

434111917470 is an abundant number, since it is smaller than the sum of its proper divisors (865038710370).

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

434111917470 is a wasteful number, since it uses less digits than its factorization.

434111917470 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28610.

The product of its (nonzero) digits is 84672, while the sum is 42.

The spelling of 434111917470 in words is "four hundred thirty-four billion, one hundred eleven million, nine hundred seventeen thousand, four hundred seventy".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 55 66 70 77 105 110 154 165 210 231 330 385 462 770 1155 2310 10253 18329 20506 30759 36658 51265 54987 61518 71771 91645 102530 109974 112783 128303 143542 153795 183290 201619 215313 225566 256606 274935 307590 338349 358855 384909 403238 430626 549870 563915 604857 641515 676698 717710 769818 789481 1008095 1076565 1127830 1209714 1283030 1411333 1578962 1691745 1924545 2016190 2153130 2368443 2822666 3024285 3383490 3849090 3947405 4233999 4736886 6048570 7056665 7894810 8467998 11842215 14113330 21169995 23684430 42339990 187927237 375854474 563781711 939636185 1127563422 1315490659 1879272370 2067199607 2630981318 2818908555 3946471977 4134399214 5637817110 6201598821 6577453295 7892943954 10335998035 12403197642 13154906590 14470397249 19732359885 20671996070 28940794498 31007994105 39464719770 43411191747 62015988210 72351986245 86822383494 144703972490 217055958735 434111917470