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4112504144 = 247323311051
BaseRepresentation
bin1111010100011111…
…1101010101010000
3101121121101212010022
43311013331111100
531410300113034
61520025123012
7203624465000
oct36507752520
911547355108
104112504144
111820446261
12969329468
13507022808
142b027c000
15191099b2e
hexf51fd550

4112504144 has 160 divisors (see below), whose sum is σ = 10018406400. Its totient is φ = 1629936000.

The previous prime is 4112504131. The next prime is 4112504147. The reversal of 4112504144 is 4414052114.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4112504147) 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, 3912419 + ... + 3913469.

It is an arithmetic number, because the mean of its divisors is an integer number (62615040).

Almost surely, 24112504144 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 4112504144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5009203200).

4112504144 is an abundant number, since it is smaller than the sum of its proper divisors (5905902256).

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

4112504144 is a wasteful number, since it uses less digits than its factorization.

4112504144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1134 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 26.

The square root of 4112504144 is about 64128.8090018831. The cubic root of 4112504144 is about 1602.1460972130.

Adding to 4112504144 its reverse (4414052114), we get a palindrome (8526556258).

The spelling of 4112504144 in words is "four billion, one hundred twelve million, five hundred four thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 23 28 31 46 49 56 62 92 98 112 124 161 184 196 217 248 322 343 368 392 434 496 644 686 713 784 868 1051 1127 1288 1372 1426 1519 1736 2102 2254 2576 2744 2852 3038 3472 4204 4508 4991 5488 5704 6076 7357 7889 8408 9016 9982 10633 11408 12152 14714 15778 16816 18032 19964 21266 24173 24304 29428 31556 32581 34937 39928 42532 48346 51499 58856 63112 65162 69874 79856 85064 96692 102998 117712 126224 130324 139748 169211 170128 193384 205996 228067 244559 260648 279496 338422 360493 386768 411992 456134 489118 521296 558992 676844 720986 749363 823984 912268 978236 1184477 1353688 1441972 1498726 1596469 1824536 1956472 2368954 2707376 2883944 2997452 3192938 3649072 3912944 4737908 5245541 5767888 5994904 6385876 8291339 9475816 10491082 11175283 11989808 12771752 16582678 18951632 20982164 22350566 25543504 33165356 36718787 41964328 44701132 66330712 73437574 83928656 89402264 132661424 146875148 178804528 257031509 293750296 514063018 587500592 1028126036 2056252072 4112504144