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4231209120 = 253531328163
BaseRepresentation
bin1111110000110011…
…0010000010100000
3101220212202200201220
43330030302002200
532131142142440
61535505255040
7206565453435
oct37414620240
911825680656
104231209120
111881453046
129a1034480
135257b5148
142c1d3bb8c
1519b6e68d0
hexfc3320a0

4231209120 has 96 divisors (see below), whose sum is σ = 13371365952. Its totient is φ = 1124677632.

The previous prime is 4231209119. The next prime is 4231209121. The reversal of 4231209120 is 219021324.

It is an interprime number because it is at equal distance from previous prime (4231209119) and next prime (4231209121).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (4231209121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136159 + ... + 164321.

It is an arithmetic number, because the mean of its divisors is an integer number (139285062).

Almost surely, 24231209120 is an apocalyptic number.

4231209120 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 4231209120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6685682976).

4231209120 is an abundant number, since it is smaller than the sum of its proper divisors (9140156832).

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

4231209120 is a wasteful number, since it uses less digits than its factorization.

4231209120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28494 (or 28486 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 4231209120 is about 65047.7449263232. The cubic root of 4231209120 is about 1617.4151125955.

The spelling of 4231209120 in words is "four billion, two hundred thirty-one million, two hundred nine thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 313 480 626 939 1252 1565 1878 2504 3130 3756 4695 5008 6260 7512 9390 10016 12520 15024 18780 25040 28163 30048 37560 50080 56326 75120 84489 112652 140815 150240 168978 225304 281630 337956 422445 450608 563260 675912 844890 901216 1126520 1351824 1689780 2253040 2703648 3379560 4506080 6759120 8815019 13518240 17630038 26445057 35260076 44075095 52890114 70520152 88150190 105780228 132225285 141040304 176300380 211560456 264450570 282080608 352600760 423120912 528901140 705201520 846241824 1057802280 1410403040 2115604560 4231209120