Search a number
-
+
140001414 = 23723373917
BaseRepresentation
bin10000101100001…
…00000010000110
3100202102210211120
420112010002012
5241320021124
621520414410
73316664250
oct1026040206
9322383746
10140001414
1172033153
123aa77406
132300ab97
1414844cd0
15c456d79
hex8584086

140001414 has 64 divisors (see below), whose sum is σ = 343028736. Its totient is φ = 37217664.

The previous prime is 140001401. The next prime is 140001427. The reversal of 140001414 is 414100041.

140001414 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (140001401) and next prime (140001427).

It is a junction number, because it is equal to n+sod(n) for n = 140001393 and 140001402.

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, 33784 + ... + 37700.

It is an arithmetic number, because the mean of its divisors is an integer number (5359824).

Almost surely, 2140001414 is an apocalyptic number.

140001414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 140001414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171514368).

140001414 is an abundant number, since it is smaller than the sum of its proper divisors (203027322).

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

140001414 is a wasteful number, since it uses less digits than its factorization.

140001414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3989.

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 140001414 is about 11832.2193184542. The cubic root of 140001414 is about 519.2511583189.

Adding to 140001414 its reverse (414100041), we get a palindrome (554101455).

The spelling of 140001414 in words is "one hundred forty million, one thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 14 21 23 37 42 46 69 74 111 138 161 222 259 322 483 518 777 851 966 1554 1702 2553 3917 5106 5957 7834 11751 11914 17871 23502 27419 35742 54838 82257 90091 144929 164514 180182 270273 289858 434787 540546 630637 869574 1014503 1261274 1891911 2029006 3043509 3333367 3783822 6087018 6666734 10000101 20000202 23333569 46667138 70000707 140001414