Search a number
-
+
104422301440 = 285177167589
BaseRepresentation
bin110000101000000001…
…1011101111100000000
3100222112100222112100221
41201100003131330000
53202324102121230
6115545420152424
710354452626422
oct1412003357400
9328470875327
10104422301440
1140315737686
12182a2998714
139b01a80562
1450a8502812
152ab25cb27a
hex18500ddf00

104422301440 has 144 divisors (see below), whose sum is σ = 268571298240. Its totient is φ = 38757662720.

The previous prime is 104422301437. The next prime is 104422301453. The reversal of 104422301440 is 44103224401.

It is a congruent number.

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, 1511166 + ... + 1578754.

It is an arithmetic number, because the mean of its divisors is an integer number (1865078460).

Almost surely, 2104422301440 is an apocalyptic number.

104422301440 is a gapful number since it is divisible by the number (10) 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 104422301440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134285649120).

104422301440 is an abundant number, since it is smaller than the sum of its proper divisors (164148996800).

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

104422301440 is an equidigital number, since it uses as much as digits as its factorization.

104422301440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67698 (or 67684 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 104422301440 its reverse (44103224401), we get a palindrome (148525525841).

The spelling of 104422301440 in words is "one hundred four billion, four hundred twenty-two million, three hundred one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 71 80 85 128 136 142 160 170 256 272 284 320 340 355 544 568 640 680 710 1088 1136 1207 1280 1360 1420 2176 2272 2414 2720 2840 4352 4544 4828 5440 5680 6035 9088 9656 10880 11360 12070 18176 19312 21760 22720 24140 38624 45440 48280 67589 77248 90880 96560 135178 154496 193120 270356 308992 337945 386240 540712 675890 772480 1081424 1149013 1351780 1544960 2162848 2298026 2703560 4325696 4596052 4798819 5407120 5745065 8651392 9192104 9597638 10814240 11490130 17302784 18384208 19195276 21628480 22980260 23994095 36768416 38390552 43256960 45960520 47988190 73536832 76781104 81579923 86513920 91921040 95976380 147073664 153562208 163159846 183842080 191952760 294147328 307124416 326319692 367684160 383905520 407899615 614248832 652639384 735368320 767811040 815799230 1228497664 1305278768 1470736640 1535622080 1631598460 2610557536 3071244160 3263196920 5221115072 6142488320 6526393840 10442230144 13052787680 20884460288 26105575360 52211150720 104422301440