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4137139420 = 2251922919759
BaseRepresentation
bin1111011010010111…
…1011110011011100
3101200022202110100221
43312211323303130
531433101430140
61522305131124
7204344050651
oct36645736334
911608673327
104137139420
111833342097
12975629aa4
1350c1699bb
142b3651c28
1519331414a
hexf697bcdc

4137139420 has 72 divisors (see below), whose sum is σ = 9485985600. Its totient is φ = 1513620864.

The previous prime is 4137139417. The next prime is 4137139429. The reversal of 4137139420 is 249317314.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4137139429) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 199501 + ... + 219259.

It is an arithmetic number, because the mean of its divisors is an integer number (131749800).

Almost surely, 24137139420 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 4137139420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4742992800).

4137139420 is an abundant number, since it is smaller than the sum of its proper divisors (5348846180).

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

4137139420 is a wasteful number, since it uses less digits than its factorization.

4137139420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19835 (or 19814 counting only the distinct ones).

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

The square root of 4137139420 is about 64320.5987223378. The cubic root of 4137139420 is about 1605.3388608509.

The spelling of 4137139420 in words is "four billion, one hundred thirty-seven million, one hundred thirty-nine thousand, four hundred twenty".

Divisors: 1 2 4 5 10 19 20 29 38 58 76 95 116 145 190 290 361 380 551 580 722 1102 1444 1805 2204 2755 3610 5510 7220 10469 11020 19759 20938 39518 41876 52345 79036 98795 104690 197590 209380 375421 395180 573011 750842 1146022 1501684 1877105 2292044 2865055 3754210 5730110 7132999 7508420 10887209 11460220 14265998 21774418 28531996 35664995 43548836 54436045 71329990 108872090 142659980 206856971 217744180 413713942 827427884 1034284855 2068569710 4137139420