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4318992040 = 23511292711249
BaseRepresentation
bin1000000010110111…
…01001011010101000
3102010222221112021011
410001123221122220
532321130221130
61552322553304
7212012553346
oct40133513250
912128845234
104318992040
111916a5a710
12a06508834
1353aa3bbbc
142cd86c996
151a428652a
hex1016e96a8

4318992040 has 128 divisors (see below), whose sum is σ = 11016000000. Its totient is φ = 1509580800.

The previous prime is 4318992037. The next prime is 4318992043. The reversal of 4318992040 is 402998134.

It is an interprime number because it is at equal distance from previous prime (4318992037) and next prime (4318992043).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 4318991984 and 4318992002.

It is not an unprimeable number, because it can be changed into a prime (4318992043) 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, 3457336 + ... + 3458584.

It is an arithmetic number, because the mean of its divisors is an integer number (86062500).

Almost surely, 24318992040 is an apocalyptic number.

4318992040 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 4318992040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5508000000).

4318992040 is an abundant number, since it is smaller than the sum of its proper divisors (6697007960).

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

4318992040 is a wasteful number, since it uses less digits than its factorization.

4318992040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1571 (or 1567 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The square root of 4318992040 is about 65719.0386417817. The cubic root of 4318992040 is about 1628.5238923087.

The spelling of 4318992040 in words is "four billion, three hundred eighteen million, nine hundred ninety-two thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 29 40 44 55 58 88 110 116 145 220 232 271 290 319 440 542 580 638 1084 1160 1249 1276 1355 1595 2168 2498 2552 2710 2981 3190 4996 5420 5962 6245 6380 7859 9992 10840 11924 12490 12760 13739 14905 15718 23848 24980 27478 29810 31436 36221 39295 49960 54956 59620 62872 68695 72442 78590 86449 109912 119240 137390 144884 157180 172898 181105 274780 289768 314360 338479 345796 362210 398431 432245 549560 676958 691592 724420 796862 864490 1353916 1448840 1593724 1692395 1728980 1992155 2707832 3187448 3384790 3457960 3723269 3984310 6769580 7446538 7968620 9815891 13539160 14893076 15937240 18616345 19631782 29786152 37232690 39263564 49079455 74465380 78527128 98158910 107974801 148930760 196317820 215949602 392635640 431899204 539874005 863798408 1079748010 2159496020 4318992040