Search a number
-
+
40577415564360 = 23352358792500759
BaseRepresentation
bin10010011100111101010100…
…11100001100110001001000
312022200011101212011212100110
421032132222130030301020
520304310021341024420
6222145001331434320
711355423120260043
oct1116365234146110
9168604355155313
1040577415564360
1111a24870264924
1246742124559a0
13198458429688c
14a03d59127c5a
154a57a1eb4ee0
hex24e7aa70cc48

40577415564360 has 128 divisors (see below), whose sum is σ = 127046610432000. Its totient is φ = 10348416688896.

The previous prime is 40577415564349. The next prime is 40577415564391. The reversal of 40577415564360 is 6346551477504.

It is a self number, because there is not a number n which added to its sum of digits gives 40577415564360.

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, 14975661 + ... + 17476419.

It is an arithmetic number, because the mean of its divisors is an integer number (992551644000).

Almost surely, 240577415564360 is an apocalyptic number.

40577415564360 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 40577415564360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63523305216000).

40577415564360 is an abundant number, since it is smaller than the sum of its proper divisors (86469194867640).

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

40577415564360 is a wasteful number, since it uses less digits than its factorization.

40577415564360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2506675 (or 2506671 counting only the distinct ones).

The product of its (nonzero) digits is 42336000, while the sum is 57.

The spelling of 40577415564360 in words is "forty trillion, five hundred seventy-seven billion, four hundred fifteen million, five hundred sixty-four thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 460 552 690 920 1380 2760 5879 11758 17637 23516 29395 35274 47032 58790 70548 88185 117580 135217 141096 176370 235160 270434 352740 405651 540868 676085 705480 811302 1081736 1352170 1622604 2028255 2500759 2704340 3245208 4056510 5001518 5408680 7502277 8113020 10003036 12503795 15004554 16226040 20006072 25007590 30009108 37511385 50015180 57517457 60018216 75022770 100030360 115034914 150045540 172552371 230069828 287587285 300091080 345104742 460139656 575174570 690209484 862761855 1150349140 1380418968 1725523710 2300698280 3451047420 6902094840 14701962161 29403924322 44105886483 58807848644 73509810805 88211772966 117615697288 147019621610 176423545932 220529432415 294039243220 338145129703 352847091864 441058864830 588078486440 676290259406 882117729660 1014435389109 1352580518812 1690725648515 1764235459320 2028870778218 2705161037624 3381451297030 4057741556436 5072176945545 6762902594060 8115483112872 10144353891090 13525805188120 20288707782180 40577415564360