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4331400816 = 243198357221
BaseRepresentation
bin1000000100010101…
…11110111001110000
3102011212021221220110
410002022332321300
532332314311231
61553444541320
7212223204501
oct40212767160
912155257813
104331400816
111922a655a6
12a0a6b1840
13540494c82
142d137cba8
151a53d8046
hex1022bee70

4331400816 has 80 divisors (see below), whose sum is σ = 11920487040. Its totient is φ = 1351307520.

The previous prime is 4331400809. The next prime is 4331400833. The reversal of 4331400816 is 6180041334.

It is a super-2 number, since 2×43314008162 = 37522066057690931712, which contains 22 as substring.

It is a congruent number.

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, 47086 + ... + 104306.

It is an arithmetic number, because the mean of its divisors is an integer number (149006088).

Almost surely, 24331400816 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 4331400816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5960243520).

4331400816 is an abundant number, since it is smaller than the sum of its proper divisors (7589086224).

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

4331400816 is a wasteful number, since it uses less digits than its factorization.

4331400816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57334 (or 57328 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 4331400816 is about 65813.3787006867. The cubic root of 4331400816 is about 1630.0820232979.

The spelling of 4331400816 in words is "four billion, three hundred thirty-one million, four hundred thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 83 114 152 166 228 249 304 332 456 498 664 912 996 1328 1577 1992 3154 3984 4731 6308 9462 12616 18924 25232 37848 57221 75696 114442 171663 228884 343326 457768 686652 915536 1087199 1373304 2174398 2746608 3261597 4348796 4749343 6523194 8697592 9498686 13046388 14248029 17395184 18997372 26092776 28496058 37994744 52185552 56992116 75989488 90237517 113984232 180475034 227968464 270712551 360950068 541425102 721900136 1082850204 1443800272 2165700408 4331400816