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514134563344350 = 235213283244354727
BaseRepresentation
bin111010011100110100100100…
…0000000111100111111011110
32111102101210011201011202102120
41310321221020000330333132
51014342040041204004400
65021250054024203410
7213202665524146524
oct16471511000747736
92442353151152376
10514134563344350
11139901275602753
12497b6881009566
13190b58b1a44200
1490d636206c314
153e68c470b1ca0
hex1d39a4803cfde

514134563344350 has 144 divisors (see below), whose sum is σ = 1397314166919552. Its totient is φ = 125031426199680.

The previous prime is 514134563344349. The next prime is 514134563344357. The reversal of 514134563344350 is 53443365431415.

It is a junction number, because it is equal to n+sod(n) for n = 514134563344293 and 514134563344302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (514134563344357) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 120073314 + ... + 124281413.

It is an arithmetic number, because the mean of its divisors is an integer number (9703570603608).

Almost surely, 2514134563344350 is an apocalyptic number.

514134563344350 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

514134563344350 is an abundant number, since it is smaller than the sum of its proper divisors (883179603575202).

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

514134563344350 is a wasteful number, since it uses less digits than its factorization.

514134563344350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244354851 (or 244354833 counting only the distinct ones).

The product of its (nonzero) digits is 15552000, while the sum is 51.

The spelling of 514134563344350 in words is "five hundred fourteen trillion, one hundred thirty-four billion, five hundred sixty-three million, three hundred forty-four thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 13 15 25 26 30 39 50 65 75 78 83 130 150 166 169 195 249 325 338 390 415 498 507 650 830 845 975 1014 1079 1245 1690 1950 2075 2158 2490 2535 3237 4150 4225 5070 5395 6225 6474 8450 10790 12450 12675 14027 16185 25350 26975 28054 32370 42081 53950 70135 80925 84162 140270 161850 210405 350675 420810 701350 1052025 2104050 244354727 488709454 733064181 1221773635 1466128362 2443547270 3176611451 3665320905 6108868175 6353222902 7330641810 9529834353 12217736350 15883057255 18326604525 19059668706 20281442341 31766114510 36653209050 40562884682 41295948863 47649171765 60844327023 79415286275 82591897726 95298343530 101407211705 121688654046 123887846589 158830572550 202814423410 206479744315 238245858825 247775693178 263658750433 304221635115 412959488630 476491717650 507036058525 527317500866 608443270230 619439232945 790976251299 1014072117050 1032398721575 1238878465890 1318293752165 1521108175575 1581952502598 2064797443150 2636587504330 3042216351150 3097196164725 3427563755629 3954881256495 6194392329450 6591468760825 6855127511258 7909762512990 10282691266887 13182937521650 17137818778145 19774406282475 20565382533774 34275637556290 39548812564950 51413456334435 85689093890725 102826912668870 171378187781450 257067281672175 514134563344350