Search a number
-
+
3113114240 = 27531173907
BaseRepresentation
bin1011100110001110…
…0101101010000000
322000221212120220102
42321203211222000
522333424123430
61232524501532
7140101014545
oct27143455200
98027776812
103113114240
1113582a9895
1272a6aa8a8
133a7c6a242
1421764cbcc
15133489345
hexb98e5a80

3113114240 has 128 divisors (see below), whose sum is σ = 7735288320. Its totient is φ = 1196789760.

The previous prime is 3113114237. The next prime is 3113114267. The reversal of 3113114240 is 424113113.

It is a tau number, because it is divible by the number of its divisors (128).

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

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, 3431867 + ... + 3432773.

It is an arithmetic number, because the mean of its divisors is an integer number (60431940).

Almost surely, 23113114240 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 3113114240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3867644160).

3113114240 is an abundant number, since it is smaller than the sum of its proper divisors (4622174080).

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

3113114240 is a wasteful number, since it uses less digits than its factorization.

3113114240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1130 (or 1118 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 3113114240 is about 55795.2886899960. The cubic root of 3113114240 is about 1460.1529582662.

Adding to 3113114240 its reverse (424113113), we get a palindrome (3537227353).

The spelling of 3113114240 in words is "three billion, one hundred thirteen million, one hundred fourteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 128 155 160 173 248 310 320 346 496 620 640 692 865 907 992 1240 1384 1730 1814 1984 2480 2768 3460 3628 3968 4535 4960 5363 5536 6920 7256 9070 9920 10726 11072 13840 14512 18140 19840 21452 22144 26815 27680 28117 29024 36280 42904 53630 55360 56234 58048 72560 85808 107260 110720 112468 116096 140585 145120 156911 171616 214520 224936 281170 290240 313822 343232 429040 449872 562340 580480 627644 686464 784555 858080 899744 1124680 1255288 1569110 1716160 1799488 2249360 2510576 3138220 3432320 3598976 4498720 4864241 5021152 6276440 8997440 9728482 10042304 12552880 17994880 19456964 20084608 24321205 25105760 38913928 48642410 50211520 77827856 97284820 100423040 155655712 194569640 311311424 389139280 622622848 778278560 1556557120 3113114240