Search a number
-
+
4157146119 = 3717671511151
BaseRepresentation
bin1111011111001001…
…0000010000000111
3101201201101220101210
43313302100100013
532003212133434
61524302022503
7205006105350
oct36762202007
911651356353
104157146119
111843667455
12980277a33
13513353199
142b617cd27
15194e66ee9
hexf7c90407

4157146119 has 64 divisors (see below), whose sum is σ = 6858473472. Its totient is φ = 2185920000.

The previous prime is 4157146117. The next prime is 4157146127. The reversal of 4157146119 is 9116417514.

It is not a de Polignac number, because 4157146119 - 21 = 4157146117 is a prime.

It is a super-2 number, since 2×41571461192 = 34563727709433524322, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4157146117) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3611194 + ... + 3612344.

It is an arithmetic number, because the mean of its divisors is an integer number (107163648).

Almost surely, 24157146119 is an apocalyptic number.

4157146119 is a deficient number, since it is larger than the sum of its proper divisors (2701327353).

4157146119 is a wasteful number, since it uses less digits than its factorization.

4157146119 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1396.

The product of its digits is 30240, while the sum is 39.

The square root of 4157146119 is about 64475.9344174243. The cubic root of 4157146119 is about 1607.9224413255.

The spelling of 4157146119 in words is "four billion, one hundred fifty-seven million, one hundred forty-six thousand, one hundred nineteen".

Divisors: 1 3 7 17 21 51 67 119 151 201 357 453 469 1057 1139 1151 1407 2567 3171 3417 3453 7701 7973 8057 10117 17969 19567 23919 24171 30351 53907 58701 70819 77117 136969 171989 173801 212457 231351 410907 515967 521403 539819 1203923 1216607 1310989 1619457 2954617 3611769 3649821 3932967 8863851 9176923 11644667 20682319 27530769 34934001 62046957 81512669 197959339 244538007 593878017 1385715373 4157146119