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3145914774 = 23479401613
BaseRepresentation
bin1011101110000010…
…1101100110010110
322010020121000210000
42323200231212112
522420323233044
61240055512130
7140646556122
oct27340554626
98106530700
103145914774
111374872372
12739688646
133b19b2b42
1421bb4a582
151362b7d69
hexbb82d996

3145914774 has 80 divisors (see below), whose sum is σ = 7167885120. Its totient is φ = 1031097600.

The previous prime is 3145914763. The next prime is 3145914817. The reversal of 3145914774 is 4774195413.

It is a happy number.

3145914774 is a `hidden beast` number, since 3 + 14 + 591 + 47 + 7 + 4 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5131692 + ... + 5132304.

It is an arithmetic number, because the mean of its divisors is an integer number (89598564).

Almost surely, 23145914774 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3145914774, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3583942560).

3145914774 is an abundant number, since it is smaller than the sum of its proper divisors (4021970346).

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

3145914774 is a wasteful number, since it uses less digits than its factorization.

3145914774 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1107 (or 1098 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 3145914774 is about 56088.4549082964. The cubic root of 3145914774 is about 1465.2632287629.

The spelling of 3145914774 in words is "three billion, one hundred forty-five million, nine hundred fourteen thousand, seven hundred seventy-four".

Divisors: 1 2 3 6 9 18 27 54 79 81 158 162 237 401 474 613 711 802 1203 1226 1422 1839 2133 2406 3609 3678 4266 5517 6399 7218 10827 11034 12798 16551 21654 31679 32481 33102 48427 49653 63358 64962 95037 96854 99306 145281 190074 245813 285111 290562 435843 491626 570222 737439 855333 871686 1307529 1474878 1710666 2212317 2565999 2615058 3922587 4424634 5131998 6636951 7845174 13273902 19419227 19910853 38838454 39821706 58257681 116515362 174773043 349546086 524319129 1048638258 1572957387 3145914774