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3012414144 = 263172340127
BaseRepresentation
bin1011001110001101…
…1100101011000000
321202221101111100020
42303203130223000
522132134223034
61214530253440
7134436045345
oct26343345300
97687344306
103012414144
11130647a373
12700a27280
1339013cb9c
142081187cc
151296e7249
hexb38dcac0

3012414144 has 112 divisors (see below), whose sum is σ = 8806330368. Its totient is φ = 903958528.

The previous prime is 3012414079. The next prime is 3012414157. The reversal of 3012414144 is 4414142103.

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

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, 55009 + ... + 95135.

Almost surely, 23012414144 is an apocalyptic number.

3012414144 is a gapful number since it is divisible by the number (34) 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 3012414144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4403165184).

3012414144 is an abundant number, since it is smaller than the sum of its proper divisors (5793916224).

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

3012414144 is a wasteful number, since it uses less digits than its factorization.

3012414144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40182 (or 40172 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 3012414144 is about 54885.4638679496. The cubic root of 3012414144 is about 1444.2361985510.

Adding to 3012414144 its reverse (4414142103), we get a palindrome (7426556247).

The spelling of 3012414144 in words is "three billion, twelve million, four hundred fourteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 17 23 24 32 34 46 48 51 64 68 69 92 96 102 136 138 184 192 204 272 276 368 391 408 544 552 736 782 816 1088 1104 1173 1472 1564 1632 2208 2346 3128 3264 4416 4692 6256 9384 12512 18768 25024 37536 40127 75072 80254 120381 160508 240762 321016 481524 642032 682159 922921 963048 1284064 1364318 1845842 1926096 2046477 2568128 2728636 2768763 3691684 3852192 4092954 5457272 5537526 7383368 7704384 8185908 10914544 11075052 14766736 15689657 16371816 21829088 22150104 29533472 31379314 32743632 43658176 44300208 47068971 59066944 62758628 65487264 88600416 94137942 125517256 130974528 177200832 188275884 251034512 376551768 502069024 753103536 1004138048 1506207072 3012414144