Search a number
-
+
3301040020440 = 23351791187129469
BaseRepresentation
bin110000000010010101010…
…100010101101111011000
3102200120120011011211000210
4300002111110111233120
5413041012221123230
611004250555531120
7460330564132131
oct60022524255730
912616504154023
103301040020440
111062a660407a8
1245391b759aa0
131ac395c6b906
14b5ab2202c88
155ad0338beb0
hex30095515bd8

3301040020440 has 128 divisors (see below), whose sum is σ = 9966911328000. Its totient is φ = 874615377408.

The previous prime is 3301040020433. The next prime is 3301040020441. The reversal of 3301040020440 is 440200401033.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3301040020441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25432026 + ... + 25561494.

It is an arithmetic number, because the mean of its divisors is an integer number (77866494750).

Almost surely, 23301040020440 is an apocalyptic number.

3301040020440 is a gapful number since it is divisible by the number (30) 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 3301040020440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4983455664000).

3301040020440 is an abundant number, since it is smaller than the sum of its proper divisors (6665871307560).

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

3301040020440 is a wasteful number, since it uses less digits than its factorization.

3301040020440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130849 (or 130845 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 3301040020440 its reverse (440200401033), we get a palindrome (3741240421473).

The spelling of 3301040020440 in words is "three trillion, three hundred one billion, forty million, twenty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 179 358 537 716 895 1074 1187 1432 1790 2148 2374 2685 3561 3580 4296 4748 5370 5935 7122 7160 9496 10740 11870 14244 17805 21480 23740 28488 35610 47480 71220 129469 142440 212473 258938 388407 424946 517876 637419 647345 776814 849892 1035752 1062365 1274838 1294690 1553628 1699784 1942035 2124730 2549676 2589380 3107256 3187095 3884070 4249460 5099352 5178760 6374190 7768140 8498920 12748380 15536280 23174951 25496760 46349902 69524853 92699804 115874755 139049706 153679703 185399608 231749510 278099412 307359406 347624265 461039109 463499020 556198824 614718812 695248530 768398515 922078218 926998040 1229437624 1390497060 1536797030 1844156436 2305195545 2780994120 3073594060 3688312872 4610391090 6147188120 9220782180 18441564360 27508666837 55017333674 82526000511 110034667348 137543334185 165052001022 220069334696 275086668370 330104002044 412630002555 550173336740 660208004088 825260005110 1100346673480 1650520010220 3301040020440