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16290431974131 = 376171919194899
BaseRepresentation
bin1110110100001110100101…
…1010010011101011110011
32010200100110012202202110020
43231003221122103223303
54113400301041133011
654351415433134523
73300642043041030
oct355035132235363
963610405682406
1016290431974131
115210808182277
1219b124085a443
13912247c84743
14404665426387
151d3b415a9006
hexed0e9693af3

16290431974131 has 64 divisors (see below), whose sum is σ = 25613789184000. Its totient is φ = 9017384745600.

The previous prime is 16290431974099. The next prime is 16290431974151. The reversal of 16290431974131 is 13147913409261.

It is not a de Polignac number, because 16290431974131 - 25 = 16290431974099 is a prime.

It is a super-2 number, since 2×162904319741312 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (16290431974151) 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, 83486520 + ... + 83681418.

It is an arithmetic number, because the mean of its divisors is an integer number (400215456000).

Almost surely, 216290431974131 is an apocalyptic number.

16290431974131 is a deficient number, since it is larger than the sum of its proper divisors (9323357209869).

16290431974131 is a wasteful number, since it uses less digits than its factorization.

16290431974131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195960.

The product of its (nonzero) digits is 979776, while the sum is 51.

The spelling of 16290431974131 in words is "sixteen trillion, two hundred ninety billion, four hundred thirty-one million, nine hundred seventy-four thousand, one hundred thirty-one".

Divisors: 1 3 7 21 61 71 183 213 427 497 919 1281 1491 2757 4331 6433 12993 19299 30317 56059 65249 90951 168177 194899 195747 392413 456743 584697 1177239 1364293 1370229 3980189 4092879 11888839 11940567 13837829 27861323 35666517 41513487 83221873 83583969 96864803 179112181 249665619 290594409 537336543 844107569 1253785267 2532322707 3761355801 5908752983 10925843041 12716964851 17726258949 32777529123 38150894553 76480901287 89018753957 229442703861 267056261871 775734855911 2327204567733 5430143991377 16290431974131