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4320114040 = 2351147317659
BaseRepresentation
bin1000000010111111…
…11011010101111000
3102011002001112100201
410001133323111320
532321422122130
61552403011544
7212025235444
oct40137732570
912132045321
104320114040
111917656690
12a06969bb4
1353b0427c8
142cda81824
151a4408bca
hex1017fb578

4320114040 has 128 divisors (see below), whose sum is σ = 10880179200. Its totient is φ = 1530350080.

The previous prime is 4320114017. The next prime is 4320114041. The reversal of 4320114040 is 404110234.

It is a junction number, because it is equal to n+sod(n) for n = 4320113999 and 4320114017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4320114041) 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, 6555231 + ... + 6555889.

It is an arithmetic number, because the mean of its divisors is an integer number (85001400).

Almost surely, 24320114040 is an apocalyptic number.

4320114040 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 4320114040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5440089600).

4320114040 is an abundant number, since it is smaller than the sum of its proper divisors (6560065160).

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

4320114040 is a wasteful number, since it uses less digits than its factorization.

4320114040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1045 (or 1041 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 4320114040 is about 65727.5744265677. The cubic root of 4320114040 is about 1628.6649009505.

Adding to 4320114040 its reverse (404110234), we get a palindrome (4724224274).

The spelling of 4320114040 in words is "four billion, three hundred twenty million, one hundred fourteen thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 47 55 88 94 110 188 220 235 317 376 440 470 517 634 659 940 1034 1268 1318 1585 1880 2068 2536 2585 2636 3170 3295 3487 4136 5170 5272 6340 6590 6974 7249 10340 12680 13180 13948 14498 14899 17435 20680 26360 27896 28996 29798 30973 34870 36245 57992 59596 61946 69740 72490 74495 119192 123892 139480 144980 148990 154865 163889 208903 247784 289960 297980 309730 327778 340703 417806 595960 619460 655556 681406 819445 835612 1044515 1238920 1311112 1362812 1638890 1671224 1703515 2089030 2297933 2725624 3277780 3407030 4178060 4595866 6555560 6814060 8356120 9191732 9818441 11489665 13628120 18383464 19636882 22979330 39273764 45958660 49092205 78547528 91917320 98184410 108002851 196368820 216005702 392737640 432011404 540014255 864022808 1080028510 2160057020 4320114040