Search a number
-
+
40403420320 = 2551514673581
BaseRepresentation
bin100101101000001110…
…110100010010100000
310212021210011102010211
4211220032310102200
51130221233422240
630321105303504
72630143256224
oct455016642240
9125253142124
1040403420320
111615374a76a
1279b7034b94
133a6b820903
141d53dc2784
1510b7123bea
hex9683b44a0

40403420320 has 96 divisors (see below), whose sum is σ = 96317859456. Its totient is φ = 16015488000.

The previous prime is 40403420293. The next prime is 40403420399. The reversal of 40403420320 is 2302430404.

It is a junction number, because it is equal to n+sod(n) for n = 40403420291 and 40403420300.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11280930 + ... + 11284510.

It is an arithmetic number, because the mean of its divisors is an integer number (1003311036).

Almost surely, 240403420320 is an apocalyptic number.

40403420320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40403420320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48158929728).

40403420320 is an abundant number, since it is smaller than the sum of its proper divisors (55914439136).

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

40403420320 is a wasteful number, since it uses less digits than its factorization.

40403420320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4214 (or 4206 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

Adding to 40403420320 its reverse (2302430404), we get a palindrome (42705850724).

The spelling of 40403420320 in words is "forty billion, four hundred three million, four hundred twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 151 160 302 467 604 755 934 1208 1510 1868 2335 2416 3020 3581 3736 4670 4832 6040 7162 7472 9340 12080 14324 14944 17905 18680 24160 28648 35810 37360 57296 70517 71620 74720 114592 141034 143240 282068 286480 352585 540731 564136 572960 705170 1081462 1128272 1410340 1672327 2162924 2256544 2703655 2820680 3344654 4325848 5407310 5641360 6689308 8361635 8651696 10814620 11282720 13378616 16723270 17303392 21629240 26757232 33446540 43258480 53514464 66893080 86516960 133786160 252521377 267572320 505042754 1010085508 1262606885 2020171016 2525213770 4040342032 5050427540 8080684064 10100855080 20201710160 40403420320