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4153253340 = 22351731313009
BaseRepresentation
bin1111011110001101…
…1001110111011100
3101201110002010111210
43313203121313130
532001213101330
61524042344420
7204631033215
oct36743316734
911643063453
104153253340
111841448785
1297aabb110
135125bc372
142b584840c
151949488b0
hexf78d9ddc

4153253340 has 96 divisors (see below), whose sum is σ = 12353463360. Its totient is φ = 1038974976.

The previous prime is 4153253329. The next prime is 4153253387. The reversal of 4153253340 is 433523514.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4153253298 and 4153253307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 312756 + ... + 325764.

It is an arithmetic number, because the mean of its divisors is an integer number (128681910).

Almost surely, 24153253340 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 4153253340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6176731680).

4153253340 is an abundant number, since it is smaller than the sum of its proper divisors (8200210020).

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

4153253340 is a wasteful number, since it uses less digits than its factorization.

4153253340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13351 (or 13349 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

The square root of 4153253340 is about 64445.7395023131. The cubic root of 4153253340 is about 1607.4203948657.

Adding to 4153253340 its reverse (433523514), we get a palindrome (4586776854).

The spelling of 4153253340 in words is "four billion, one hundred fifty-three million, two hundred fifty-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 313 340 510 626 939 1020 1252 1565 1878 3130 3756 4695 5321 6260 9390 10642 13009 15963 18780 21284 26018 26605 31926 39027 52036 53210 63852 65045 78054 79815 106420 130090 156108 159630 195135 221153 260180 319260 390270 442306 663459 780540 884612 1105765 1326918 2211530 2653836 3317295 4071817 4423060 6634590 8143634 12215451 13269180 16287268 20359085 24430902 40718170 48861804 61077255 69220889 81436340 122154510 138441778 207662667 244309020 276883556 346104445 415325334 692208890 830650668 1038313335 1384417780 2076626670 4153253340