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4014231032 = 2372367181257
BaseRepresentation
bin1110111101000100…
…0100110111111000
3101100202111001202102
43233101010313320
531210120343112
61502154522532
7201322254320
oct35721046770
911322431672
104014231032
11177aa24209
12940436448
134bc865046
142a11ba280
15187636bc2
hexef444df8

4014231032 has 128 divisors (see below), whose sum is σ = 9195863040. Its totient is φ = 1605795840.

The previous prime is 4014231031. The next prime is 4014231041. The reversal of 4014231032 is 2301324104.

It is a super-2 number, since 2×40142310322 = 32228101556543570048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4014230995 and 4014231013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4014231031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15619448 + ... + 15619704.

It is an arithmetic number, because the mean of its divisors is an integer number (71842680).

Almost surely, 24014231032 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 4014231032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4597931520).

4014231032 is an abundant number, since it is smaller than the sum of its proper divisors (5181632008).

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

4014231032 is a wasteful number, since it uses less digits than its factorization.

4014231032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 4014231032 is about 63357.9594999713. The cubic root of 4014231032 is about 1589.2813534395.

Adding to 4014231032 its reverse (2301324104), we get a palindrome (6315555136).

The spelling of 4014231032 in words is "four billion, fourteen million, two hundred thirty-one thousand, thirty-two".

Divisors: 1 2 4 7 8 14 23 28 46 56 67 92 134 161 181 184 257 268 322 362 469 514 536 644 724 938 1028 1267 1288 1448 1541 1799 1876 2056 2534 3082 3598 3752 4163 5068 5911 6164 7196 8326 10136 10787 11822 12127 12328 14392 16652 17219 21574 23644 24254 29141 33304 34438 41377 43148 46517 47288 48508 58282 68876 82754 84889 86296 93034 97016 116564 120533 137752 165508 169778 186068 233128 241066 278921 325619 331016 339556 372136 396037 482132 557842 651238 679112 792074 964264 1069891 1115684 1302476 1584148 1952447 2139782 2231368 2604952 2772259 3116639 3168296 3904894 4279564 5544518 6233278 7489237 7809788 8559128 11089036 12466556 14978474 15619576 21816473 22178072 24933112 29956948 43632946 59913896 71682697 87265892 143365394 174531784 286730788 501778879 573461576 1003557758 2007115516 4014231032