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4304113040 = 2451753211283
BaseRepresentation
bin1000000001000101…
…11000110110010000
3102002221221121010002
410000202320312100
532303323104130
61551032025132
7211442233343
oct40042706620
912087847102
104304113040
111909617917
12a015321a8
1353792c666
142cb8b845a
151a2ce7b45
hex1008b8d90

4304113040 has 160 divisors (see below), whose sum is σ = 10885124736. Its totient is φ = 1576673280.

The previous prime is 4304113013. The next prime is 4304113061. The reversal of 4304113040 is 403114034.

It is a happy number.

It is a super-2 number, since 2×43041130402 = 37050778122196083200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15208739 + ... + 15209021.

Almost surely, 24304113040 is an apocalyptic number.

4304113040 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 4304113040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5442562368).

4304113040 is an abundant number, since it is smaller than the sum of its proper divisors (6581011696).

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

4304113040 is a wasteful number, since it uses less digits than its factorization.

4304113040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 4304113040 is about 65605.7393830753. The cubic root of 4304113040 is about 1626.6516433113.

Adding to 4304113040 its reverse (403114034), we get a palindrome (4707227074).

The spelling of 4304113040 in words is "four billion, three hundred four million, one hundred thirteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 53 68 80 85 106 136 170 211 212 265 272 283 340 422 424 530 566 680 844 848 901 1055 1060 1132 1360 1415 1688 1802 2110 2120 2264 2830 3376 3587 3604 4220 4240 4505 4528 4811 5660 7174 7208 8440 9010 9622 11183 11320 14348 14416 14999 16880 17935 18020 19244 22366 22640 24055 28696 29998 35870 36040 38488 44732 48110 55915 57392 59713 59996 71740 72080 74995 76976 89464 96220 111830 119426 119992 143480 149990 178928 190111 192440 223660 238852 239984 254983 286960 298565 299980 380222 384880 447320 477704 509966 597130 599960 760444 894640 950555 955408 1015121 1019932 1194260 1199920 1274915 1520888 1901110 2030242 2039864 2388520 2549830 3041776 3164789 3802220 4060484 4079728 4777040 5075605 5099660 6329578 7604440 8120968 10151210 10199320 12659156 15208880 15823945 16241936 20302420 20398640 25318312 31647890 40604840 50636624 53801413 63295780 81209680 107602826 126591560 215205652 253183120 269007065 430411304 538014130 860822608 1076028260 2152056520 4304113040