Search a number
-
+
440434210440 = 233571134640057
BaseRepresentation
bin1100110100010111110…
…11001011011010001000
31120002211121200002020110
412122023323023122020
524204002124213230
6534155505354320
743551241006320
oct6321373133210
91502747602213
10440434210440
1115a8726a2144
12714386389a0
13326c064c753
14174622bc280
15b6cb5a04b0
hex668becb688

440434210440 has 128 divisors (see below), whose sum is σ = 1523423842560. Its totient is φ = 99779764224.

The previous prime is 440434210421. The next prime is 440434210483. The reversal of 440434210440 is 44012434044.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 440434210398 and 440434210407.

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, 2225109 + ... + 2414948.

It is an arithmetic number, because the mean of its divisors is an integer number (11901748770).

Almost surely, 2440434210440 is an apocalyptic number.

440434210440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

440434210440 is an abundant number, since it is smaller than the sum of its proper divisors (1082989632120).

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

440434210440 is a wasteful number, since it uses less digits than its factorization.

440434210440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4640191 (or 4640187 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 440434210440 its reverse (44012434044), we get a palindrome (484446644484).

The spelling of 440434210440 in words is "four hundred forty billion, four hundred thirty-four million, two hundred ten thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 113 120 140 168 210 226 280 339 420 452 565 678 791 840 904 1130 1356 1582 1695 2260 2373 2712 3164 3390 3955 4520 4746 6328 6780 7910 9492 11865 13560 15820 18984 23730 31640 47460 94920 4640057 9280114 13920171 18560228 23200285 27840342 32480399 37120456 46400570 55680684 64960798 69600855 92801140 97441197 111361368 129921596 139201710 162401995 185602280 194882394 259843192 278403420 324803990 389764788 487205985 524326441 556806840 649607980 779529576 974411970 1048652882 1299215960 1572979323 1948823940 2097305764 2621632205 3145958646 3670285087 3897647880 4194611528 5243264410 6291917292 7340570174 7864896615 10486528820 11010855261 12583834584 14681140348 15729793230 18351425435 20973057640 22021710522 29362280696 31459586460 36702850870 44043421044 55054276305 62919172920 73405701740 88086842088 110108552610 146811403480 220217105220 440434210440