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4315140415134 = 232232967468641
BaseRepresentation
bin111110110010110010011…
…010010101111010011110
3120021112010112222111201100
4332302302122111322132
51031144401421241014
613102203110453530
7623521126224453
oct76626232257236
916245115874640
104315140415134
11141404a2a594a
125983779642a6
13253bba597663
1410cbd51b782a
15773a7968009
hex3ecb2695e9e

4315140415134 has 72 divisors (see below), whose sum is σ = 9783771549552. Its totient is φ = 1374416144640.

The previous prime is 4315140415133. The next prime is 4315140415153.

4315140415134 is a `hidden beast` number, since 4 + 3 + 1 + 514 + 0 + 4 + 1 + 5 + 134 = 666.

4315140415134 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4315140415133) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8973454 + ... + 9442094.

It is an arithmetic number, because the mean of its divisors is an integer number (135885715966).

Almost surely, 24315140415134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4315140415134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4891885774776).

4315140415134 is an abundant number, since it is smaller than the sum of its proper divisors (5468631134418).

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

4315140415134 is a wasteful number, since it uses less digits than its factorization.

4315140415134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469662 (or 469636 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 4315140415134 in words is "four trillion, three hundred fifteen billion, one hundred forty million, four hundred fifteen thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 18 23 46 69 138 207 414 529 967 1058 1587 1934 2901 3174 4761 5802 8703 9522 17406 22241 44482 66723 133446 200169 400338 468641 511543 937282 1023086 1405923 1534629 2811846 3069258 4217769 4603887 8435538 9207774 10778743 21557486 32336229 64672458 97008687 194017374 247911089 453175847 495822178 743733267 906351694 1359527541 1487466534 2231199801 2719055082 4078582623 4462399602 8157165246 10423044481 20846088962 31269133443 62538266886 93807400329 187614800658 239730023063 479460046126 719190069189 1438380138378 2157570207567 4315140415134