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4374139120 = 24513341607
BaseRepresentation
bin1000001001011100…
…00001000011110000
3102021211201021211121
410010232001003300
532424234422440
62002012552024
7213252366121
oct40456010360
912254637747
104374139120
1119450a650a
12a20a82614
135492aa000
142d6d06048
151a902b34a
hex104b810f0

4374139120 has 160 divisors (see below), whose sum is σ = 11304276480. Its totient is φ = 1573079040.

The previous prime is 4374139073. The next prime is 4374139123. The reversal of 4374139120 is 219314734.

It is a super-2 number, since 2×43741391202 = 38266186082228748800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4374139123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7205857 + ... + 7206463.

It is an arithmetic number, because the mean of its divisors is an integer number (70651728).

Almost surely, 24374139120 is an apocalyptic number.

4374139120 is a gapful number since it is divisible by the number (40) 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 4374139120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5652138240).

4374139120 is an abundant number, since it is smaller than the sum of its proper divisors (6930137360).

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

4374139120 is a wasteful number, since it uses less digits than its factorization.

4374139120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 34.

The square root of 4374139120 is about 66137.2748153415. The cubic root of 4374139120 is about 1635.4258720357.

The spelling of 4374139120 in words is "four billion, three hundred seventy-four million, one hundred thirty-nine thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 41 52 65 80 82 104 130 164 169 205 208 260 328 338 410 520 533 607 656 676 820 845 1040 1066 1214 1352 1640 1690 2132 2197 2428 2665 2704 3035 3280 3380 4264 4394 4856 5330 6070 6760 6929 7891 8528 8788 9712 10660 10985 12140 13520 13858 15782 17576 21320 21970 24280 24887 27716 31564 34645 35152 39455 42640 43940 48560 49774 55432 63128 69290 78910 87880 90077 99548 102583 110864 124435 126256 138580 157820 175760 180154 199096 205166 248870 277160 315640 323531 360308 398192 410332 450385 497740 512915 554320 631280 647062 720616 820664 900770 995480 1025830 1294124 1333579 1441232 1617655 1641328 1801540 1990960 2051660 2588248 2667158 3235310 3603080 4103320 4205903 5176496 5334316 6470620 6667895 7206160 8206640 8411806 10668632 12941240 13335790 16823612 21029515 21337264 25882480 26671580 33647224 42059030 53343160 54676739 67294448 84118060 106686320 109353478 168236120 218706956 273383695 336472240 437413912 546767390 874827824 1093534780 2187069560 4374139120