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4099500144 = 2432832271511
BaseRepresentation
bin1111010001011001…
…0110100001110000
3101120200221011222200
43310112112201300
531343433001034
61514442303200
7203406114315
oct36426264160
911520834880
104099500144
111814074153
12964ab7b00
1350441b83c
142ac654d0c
1518ed7ba99
hexf4596870

4099500144 has 120 divisors (see below), whose sum is σ = 11670003072. Its totient is φ = 1343199360.

The previous prime is 4099500133. The next prime is 4099500157. The reversal of 4099500144 is 4410059904.

It is a happy number.

4099500144 is a `hidden beast` number, since 4 + 0 + 9 + 9 + 500 + 144 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4099500099 and 4099500108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2712349 + ... + 2713859.

Almost surely, 24099500144 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 4099500144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5835001536).

4099500144 is an abundant number, since it is smaller than the sum of its proper divisors (7570502928).

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

4099500144 is a wasteful number, since it uses less digits than its factorization.

4099500144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1835 (or 1826 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 4099500144 is about 64027.3390357588. The cubic root of 4099500144 is about 1600.4556181619.

The spelling of 4099500144 in words is "four billion, ninety-nine million, five hundred thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 83 144 166 227 249 332 454 498 664 681 747 908 996 1328 1362 1494 1511 1816 1992 2043 2724 2988 3022 3632 3984 4086 4533 5448 5976 6044 8172 9066 10896 11952 12088 13599 16344 18132 18841 24176 27198 32688 36264 37682 54396 56523 72528 75364 108792 113046 125413 150728 169569 217584 226092 250826 301456 339138 342997 376239 452184 501652 678276 685994 752478 904368 1003304 1028991 1128717 1356552 1371988 1504956 2006608 2057982 2257434 2713104 2743976 3009912 3086973 4115964 4514868 5487952 6019824 6173946 8231928 9029736 12347892 16463856 18059472 24695784 28468751 49391568 56937502 85406253 113875004 170812506 227750008 256218759 341625012 455500016 512437518 683250024 1024875036 1366500048 2049750072 4099500144