Search a number
-
+
140005244000 = 2553239146449
BaseRepresentation
bin1000001001100011110…
…1100111110001100000
3111101101012120022011102
42002120331213301200
54243212320302000
6144152330133532
713054313636636
oct2023075476140
9441335508142
10140005244000
1154415346026
12231735812a8
13102829a9b5b
146ac21d5356
15399640a3d5
hex2098f67c60

140005244000 has 96 divisors (see below), whose sum is σ = 345434544000. Its totient is φ = 55767398400.

The previous prime is 140005243997. The next prime is 140005244021. The reversal of 140005244000 is 442500041.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 882776 + ... + 1029224.

It is an arithmetic number, because the mean of its divisors is an integer number (3598276500).

Almost surely, 2140005244000 is an apocalyptic number.

140005244000 is a gapful number since it is divisible by the number (10) 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 140005244000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172717272000).

140005244000 is an abundant number, since it is smaller than the sum of its proper divisors (205429300000).

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

140005244000 is a wasteful number, since it uses less digits than its factorization.

140005244000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146713 (or 146695 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

Adding to 140005244000 its reverse (442500041), we get a palindrome (140447744041).

The spelling of 140005244000 in words is "one hundred forty billion, five million, two hundred forty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 239 250 400 478 500 800 956 1000 1195 1912 2000 2390 3824 4000 4780 5975 7648 9560 11950 19120 23900 29875 38240 47800 59750 95600 119500 146449 191200 239000 292898 478000 585796 732245 956000 1171592 1464490 2343184 2928980 3661225 4686368 5857960 7322450 11715920 14644900 18306125 23431840 29289800 35001311 36612250 58579600 70002622 73224500 117159200 140005244 146449000 175006555 280010488 292898000 350013110 560020976 585796000 700026220 875032775 1120041952 1400052440 1750065550 2800104880 3500131100 4375163875 5600209760 7000262200 8750327750 14000524400 17500655500 28001048800 35001311000 70002622000 140005244000