Search a number
-
+
157815110341 = 71931109433811
BaseRepresentation
bin1001001011111010000…
…0110111101011000101
3120002100101222020211201
42102332200313223011
510041201132012331
6200255501302501
714254543206340
oct2227640675305
9502311866751
10157815110341
1160a24574229
1226703b64a31
1311b606c8bc5
1478d168b457
154189c57a61
hex24be837ac5

157815110341 has 64 divisors (see below), whose sum is σ = 198476185600. Its totient is φ = 122444006400.

The previous prime is 157815110317. The next prime is 157815110381. The reversal of 157815110341 is 143011518751.

It is a happy number.

It is a 7-Lehmer number, since φ(157815110341) divides (157815110341-1)7.

It is a cyclic number.

It is not a de Polignac number, because 157815110341 - 227 = 157680892613 is a prime.

It is the 397260-th Hogben number.

It is a self number, because there is not a number n which added to its sum of digits gives 157815110341.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157815110381) by changing a digit.

It is a nontrivial repunit in base 397259.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 194592826 + ... + 194593636.

It is an arithmetic number, because the mean of its divisors is an integer number (3101190400).

Almost surely, 2157815110341 is an apocalyptic number.

It is an amenable number.

157815110341 is a deficient number, since it is larger than the sum of its proper divisors (40661075259).

157815110341 is a wasteful number, since it uses less digits than its factorization.

157815110341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1410.

The product of its (nonzero) digits is 16800, while the sum is 37.

The spelling of 157815110341 in words is "one hundred fifty-seven billion, eight hundred fifteen million, one hundred ten thousand, three hundred forty-one".

Divisors: 1 7 19 31 109 133 217 433 589 763 811 2071 3031 3379 4123 5677 8227 13423 14497 15409 23653 25141 47197 57589 64201 88399 93961 107863 175987 255037 330379 351163 449407 477679 618793 896743 1463107 1679581 1785259 2458141 2740369 3343753 6277201 6672097 10241749 10886053 11757067 19182583 27799033 38276767 46704679 52067011 76202371 194593231 206835007 267937369 364469077 727258573 1186579777 1447845049 5090810011 8306058439 22545015763 157815110341