Search a number
-
+
22414342405040 = 2455923512019907
BaseRepresentation
bin1010001100010101111101…
…11010101011101110110000
32221100210100001122101121022
411012022332322223232300
510414214033123430130
6115401001242515012
74502245204611635
oct506127672535660
987323301571538
1022414342405040
117161961a46423
122620071b05a68
13c678816bc531
14576c07a3818c
1528d0ad9787e5
hex1462beeabbb0

22414342405040 has 80 divisors (see below), whose sum is σ = 53019191554560. Its totient is φ = 8810022009600.

The previous prime is 22414342405031. The next prime is 22414342405057. The reversal of 22414342405040 is 4050424341422.

It is a tau number, because it is divible by the number of its divisors (80).

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, 10086767 + ... + 12106673.

It is an arithmetic number, because the mean of its divisors is an integer number (662739894432).

Almost surely, 222414342405040 is an apocalyptic number.

22414342405040 is a gapful number since it is divisible by the number (20) 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 22414342405040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26509595777280).

22414342405040 is an abundant number, since it is smaller than the sum of its proper divisors (30604849149520).

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

22414342405040 is a wasteful number, since it uses less digits than its factorization.

22414342405040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2022330 (or 2022324 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 35.

Adding to 22414342405040 its reverse (4050424341422), we get a palindrome (26464766746462).

The spelling of 22414342405040 in words is "twenty-two trillion, four hundred fourteen billion, three hundred forty-two million, four hundred five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 59 80 118 236 295 472 590 944 1180 2351 2360 4702 4720 9404 11755 18808 23510 37616 47020 94040 138709 188080 277418 554836 693545 1109672 1387090 2019907 2219344 2774180 4039814 5548360 8079628 10099535 11096720 16159256 20199070 32318512 40398140 80796280 119174513 161592560 238349026 476698052 595872565 953396104 1191745130 1906792208 2383490260 4748801357 4766980520 9497602714 9533961040 18995205428 23744006785 37990410856 47488013570 75980821712 94976027140 189952054280 280179280063 379904108560 560358560126 1120717120252 1400896400315 2241434240504 2801792800630 4482868481008 5603585601260 11207171202520 22414342405040