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40405343304 = 233195310116553
BaseRepresentation
bin100101101000010110…
…001001110001001000
310212021220210002222110
4211220112021301020
51130222231441204
630321214422320
72630165515464
oct455026116110
9125256702873
1040405343304
1116154843507
1279b78019a0
133a6c044c81
141d543634a4
1510b73a3889
hex968589c48

40405343304 has 128 divisors (see below), whose sum is σ = 109415318400. Its totient is φ = 12394137600.

The previous prime is 40405343261. The next prime is 40405343309. The reversal of 40405343304 is 40334350404.

It is not an unprimeable number, because it can be changed into a prime (40405343309) 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, 2432692 + ... + 2449244.

It is an arithmetic number, because the mean of its divisors is an integer number (854807175).

Almost surely, 240405343304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40405343304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54707659200).

40405343304 is an abundant number, since it is smaller than the sum of its proper divisors (69009975096).

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

40405343304 is a wasteful number, since it uses less digits than its factorization.

40405343304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16735 (or 16731 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 30.

Adding to 40405343304 its reverse (40334350404), we get a palindrome (80739693708).

The spelling of 40405343304 in words is "forty billion, four hundred five million, three hundred forty-three thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 19 24 38 53 57 76 101 106 114 152 159 202 212 228 303 318 404 424 456 606 636 808 1007 1212 1272 1919 2014 2424 3021 3838 4028 5353 5757 6042 7676 8056 10706 11514 12084 15352 16059 16553 21412 23028 24168 32118 33106 42824 46056 49659 64236 66212 99318 101707 128472 132424 198636 203414 305121 314507 397272 406828 610242 629014 813656 877309 943521 1220484 1258028 1671853 1754618 1887042 2440968 2516056 2631927 3343706 3509236 3774084 5015559 5263854 6687412 7018472 7548168 10031118 10527708 13374824 16668871 20062236 21055416 31765207 33337742 40124472 50006613 63530414 66675484 88608209 95295621 100013226 127060828 133350968 177216418 190591242 200026452 254121656 265824627 354432836 381182484 400052904 531649254 708865672 762364968 1063298508 1683555971 2126597016 3367111942 5050667913 6734223884 10101335826 13468447768 20202671652 40405343304