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3114143928 = 2333719108401
BaseRepresentation
bin1011100110011110…
…0001000010111000
322001000210220101000
42321213201002320
522334210101203
61233002525000
7140112533550
oct27147410270
98030726330
103114143928
111358942475
1272ab06760
133a823ab1c
1421783a160
151335de4a3
hexb99e10b8

3114143928 has 128 divisors (see below), whose sum is σ = 10406592000. Its totient is φ = 842918400.

The previous prime is 3114143927. The next prime is 3114143951. The reversal of 3114143928 is 8293414113.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 3114143892 and 3114143901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3114143927) 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, 25473 + ... + 82928.

It is an arithmetic number, because the mean of its divisors is an integer number (81301500).

Almost surely, 23114143928 is an apocalyptic number.

3114143928 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

3114143928 is an abundant number, since it is smaller than the sum of its proper divisors (7292448072).

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

3114143928 is a wasteful number, since it uses less digits than its factorization.

3114143928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108442 (or 108432 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 3114143928 is about 55804.5153011833. The cubic root of 3114143928 is about 1460.3139263653.

The spelling of 3114143928 in words is "three billion, one hundred fourteen million, one hundred forty-three thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 19 21 24 27 28 36 38 42 54 56 57 63 72 76 84 108 114 126 133 152 168 171 189 216 228 252 266 342 378 399 456 504 513 532 684 756 798 1026 1064 1197 1368 1512 1596 2052 2394 3192 3591 4104 4788 7182 9576 14364 28728 108401 216802 325203 433604 650406 758807 867208 975609 1300812 1517614 1951218 2059619 2276421 2601624 2926827 3035228 3902436 4119238 4552842 5853654 6070456 6178857 6829263 7804872 8238476 9105684 11707308 12357714 13658526 14417333 16476952 18211368 18536571 20487789 23414616 24715428 27317052 28834666 37073142 40975578 43251999 49430856 54634104 55609713 57669332 74146284 81951156 86503998 111219426 115338664 129755997 148292568 163902312 173007996 222438852 259511994 346015992 389267991 444877704 519023988 778535982 1038047976 1557071964 3114143928