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5142345104 = 241379373839
BaseRepresentation
bin1001100101000000…
…11111010110010000
3111021101020012100002
410302200133112100
541012420020404
62210134145132
7241301132531
oct46240372620
914241205302
105142345104
1121a97a0a96
12bb61b21a8
1363c4aa470
1436ad56688
152016c2c1e
hex13281f590

5142345104 has 80 divisors (see below), whose sum is σ = 10907635200. Its totient is φ = 2334279168.

The previous prime is 5142345101. The next prime is 5142345107. The reversal of 5142345104 is 4015432415.

It is an interprime number because it is at equal distance from previous prime (5142345101) and next prime (5142345107).

It is not an unprimeable number, because it can be changed into a prime (5142345101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6128717 + ... + 6129555.

It is an arithmetic number, because the mean of its divisors is an integer number (136345440).

Almost surely, 25142345104 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 5142345104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5453817600).

5142345104 is an abundant number, since it is smaller than the sum of its proper divisors (5765290096).

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

5142345104 is a wasteful number, since it uses less digits than its factorization.

5142345104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1312 (or 1306 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

The square root of 5142345104 is about 71710.1464508336. The cubic root of 5142345104 is about 1726.0514605074.

Adding to 5142345104 its reverse (4015432415), we get a palindrome (9157777519).

The spelling of 5142345104 in words is "five billion, one hundred forty-two million, three hundred forty-five thousand, one hundred four".

Divisors: 1 2 4 8 13 16 26 52 79 104 158 208 316 373 632 746 839 1027 1264 1492 1678 2054 2984 3356 4108 4849 5968 6712 8216 9698 10907 13424 16432 19396 21814 29467 38792 43628 58934 66281 77584 87256 117868 132562 174512 235736 265124 312947 383071 471472 530248 625894 766142 861653 1060496 1251788 1532284 1723306 2503576 3064568 3446612 4068311 5007152 6129136 6893224 8136622 13786448 16273244 24722813 32546488 49445626 65092976 98891252 197782504 321396569 395565008 642793138 1285586276 2571172552 5142345104