Search a number
-
+
402234000211344 = 24373893909778713
BaseRepresentation
bin101101101110101000110011…
…0101100101111110110010000
31221202012012021001210100100010
41123131101212230233312100
5410210200213023230334
63543251425420354520
7150503306332260120
oct13335214654576620
91852165231710303
10402234000211344
1110718953299a6a4
12391437889a5a40
1314359671160032
14714832d9d0c80
1531780694720e9
hex16dd466b2fd90

402234000211344 has 160 divisors (see below), whose sum is σ = 1190646401967360. Its totient is φ = 114624177463296.

The previous prime is 402234000211319. The next prime is 402234000211363. The reversal of 402234000211344 is 443112000432204.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5110094932 + ... + 5110173644.

It is an arithmetic number, because the mean of its divisors is an integer number (7441540012296).

Almost surely, 2402234000211344 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 402234000211344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595323200983680).

402234000211344 is an abundant number, since it is smaller than the sum of its proper divisors (788412401756016).

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

402234000211344 is a wasteful number, since it uses less digits than its factorization.

402234000211344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118217 (or 118211 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 402234000211344 its reverse (443112000432204), we get a palindrome (845346000643548).

The spelling of 402234000211344 in words is "four hundred two trillion, two hundred thirty-four billion, two hundred eleven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 389 778 1167 1556 2334 2723 3112 4668 5446 6224 8169 9336 10892 16338 18672 21784 32676 39097 43568 65352 78194 78713 117291 130704 156388 157426 234582 236139 273679 312776 314852 469164 472278 547358 550991 625552 629704 821037 938328 944556 1094716 1101982 1259408 1642074 1652973 1876656 1889112 2189432 2203964 3284148 3305946 3778224 4378864 4407928 6568296 6611892 8815856 13136592 13223784 15208733 26447568 30417466 30619357 45626199 60834932 61238714 91252398 91858071 106461131 121669864 122477428 182504796 183716142 212922262 214335499 243339728 244954856 319383393 365009592 367432284 425844524 428670998 489909712 638766786 643006497 730019184 734864568 851689048 857341996 1277533572 1286012994 1469729136 1703378096 1714683992 2555067144 2572025988 3077442161 3429367984 5110134288 5144051976 6154884322 9232326483 10288103952 12309768644 18464652966 21542095127 24619537288 36929305932 43084190254 49239074576 64626285381 73858611864 86168380508 129252570762 147717223728 172336761016 258505141524 344673522032 517010283048 1034020566096 1197125000629 2394250001258 3591375001887 4788500002516 7182750003774 8379875004403 9577000005032 14365500007548 16759750008806 19154000010064 25139625013209 28731000015096 33519500017612 50279250026418 57462000030192 67039000035224 100558500052836 134078000070448 201117000105672 402234000211344